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A Nonstandard Two-Step Lagrange Interpolation Method for Fractional-Order Influenza Model: Comparative Study with Real Data, Vol. 12, No. 1 (Jan. 2026), PP:1-15
doi:10.18576/pfda/120101
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Authors: |
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Nasser Hassan Sweilam - Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt
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Nourhan Hamdy - Engineering Sciences and Mathematics Department, Faculty of Petroleum and Mining Engineering, Suez University, Suez, Egypt
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Ehab A. El-Sayed - Engineering Sciences and Mathematics Department, Faculty of Petroleum and Mining Engineering, Suez University, Suez, Egypt
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Tarek Emam - Department of Mathematics, Faculty of Science, Suez University, Suez, Egypt
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How to Cite:
Nasser Hassan Sweilam, Nourhan Hamdy, Ehab A. El-Sayed, Tarek Emam, A Nonstandard Two-Step Lagrange Interpolation Method for Fractional-Order Influenza Model: Comparative Study with Real Data, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 1-15, 2026, Doi: https://dx.doi.org/10.18576/pfda/120101
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Numerical Investigation of Fractional Order Buruli Ulcer Model, Vol. 12, No. 1 (Jan. 2026), PP:17-35
doi:10.18576/pfda/120102
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Authors: |
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Mohamed A. Hafez - Faculty of Engineering and Quantity Surviving, INTI International University Colleges, Nilai, Malaysia\\ Faculty of Management, Shinawatra University, Pathum Thani, Thailand
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Mohamed Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
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Ali Akgu ̈l - Department of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATS, Chennai, Tamilnadu, India\\ Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey
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Zafar Iqbal - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
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Nauman Ahmed - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
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Umaima Akhtar - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
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Betty Wan Voon - Department of Civil Engineering, (COE), Universiti Tenaga Nasional, Kajang, Malaysia
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How to Cite:
Mohamed A. Hafez, Mohamed Qasymeh, Ali Akgu ̈l, Zafar Iqbal, Nauman Ahmed, Umaima Akhtar, Betty Wan Voon, Numerical Investigation of Fractional Order Buruli Ulcer Model, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 17-35, 2026, Doi: https://dx.doi.org/10.18576/pfda/120102
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Comparative Study of Fractional Heun’s Method and Fractional q-Heun’s Method for Solving Fractional Differential Equations, Vol. 12, No. 1 (Jan. 2026), PP:37-56
doi:10.18576/pfda/120103
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Authors: |
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Obaida Aljabari - Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
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Shaher Momani - Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
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Iqbal M. Batiha - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan
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Mohammad Odeh - Department of Mathematics, Philadelphia University, Amman 19392, Jordan
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How to Cite:
Obaida Aljabari, Shaher Momani, Iqbal M. Batiha, Mohammad Odeh, Comparative Study of Fractional Heun’s Method and Fractional q-Heun’s Method for Solving Fractional Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 37-56, 2026, Doi: https://dx.doi.org/10.18576/pfda/120103
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Solution of Third Order Fractional Boundary Value Problems by Using Greens Function Method, Vol. 12, No. 1 (Jan. 2026), PP:57-67
doi:10.18576/pfda/120104
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Authors: |
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Mazin Aljazzazi - Department of Mathematics, Faculty of Science, The University of Jordan, Amman, 11942, Jordan
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Shaher Momani - Department of Mathematics, Faculty of Science, The University of Jordan, Amman, 11942, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
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Ahmed Bouchenak - Department of Mathematics, Faculty of Exact Sciences , University Mustapha Stambouli of Mascara, Mascara, Algeria\\ Laboratory of Applied Mathematics and Modeling, Universite ́ 8 Mai 1945, B.P. 401, Guelma, Algeria
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Mohammed Al-Smadi - Department of Mathematics, Faculty of Science, The University of Jordan, Amman, 11942, Jordan\\ College of Commerce and Business, Lusail University, Lusail, Qatar
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How to Cite:
Mazin Aljazzazi, Shaher Momani, Ahmed Bouchenak, Mohammed Al-Smadi, Solution of Third Order Fractional Boundary Value Problems by Using Greens Function Method, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 57-67, 2026, Doi: https://dx.doi.org/10.18576/pfda/120104
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Composition of Activation Functions and the Reduction to Finite Domain at Fractional and Fuzzy Framework, Vol. 12, No. 1 (Jan. 2026), PP:69-86
doi:10.18576/pfda/120105
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Authors: |
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George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.
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How to Cite:
George A. Anastassiou, Composition of Activation Functions and the Reduction to Finite Domain at Fractional and Fuzzy Framework, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 69-86, 2026, Doi: https://dx.doi.org/10.18576/pfda/120105
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Control and Stability Assessment of a Fractal-Fractional Order Finance System, Vol. 12, No. 1 (Jan. 2026), PP:87-104
doi:10.18576/pfda/120106
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Authors: |
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Muhammad Farman - Department of Mathematics, Mathematics Research Center, Near East University, Nicosia /Mersin 10 Turkey\\ Department of Computer Engineering, Biruni University, Istanbul, Turkey\\ Research Center of Applied Mathematics, Khazar University, Baku, Azerbaijan
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Abdul Sattar Ghaffari - Department of ORIC, Shifa Tameer-e-Millat University, Islamabad, Pakistan
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David Amilo - Department of Mathematics, Mathematics Research Center, Near East University, Nicosia /Mersin 10 Turkey
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Zubaria Parvez - Faculty of Educational Sciences, Al-Ahliyya Amman University, Amman 19328, Jordan
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Aseel Smerat - Faculty of Educational Sciences, Al-Ahliyya Amman University, Amman 19328, Jordan\\ Department of Biosciences, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai, 602105, India
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Mohamed Hafez - Faculty of Engineering and Quantity Surviving, INTI International University Colleges, Nilai, Malaysia\\ Faculty of Management, Shinawatra, Pathum Thani, Thailand
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How to Cite:
Muhammad Farman, Abdul Sattar Ghaffari, David Amilo, Zubaria Parvez, Aseel Smerat, Mohamed Hafez, Control and Stability Assessment of a Fractal-Fractional Order Finance System, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 87-104, 2026, Doi: https://dx.doi.org/10.18576/pfda/120106
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Quantum-Enhanced Fractional Modeling of Zombie Infection Dynamics Using Hybrid Quantum Algorithms, Vol. 12, No. 1 (Jan. 2026), PP:105-113
doi:10.18576/pfda/120107
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Authors: |
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Feras Fares AL-Mashakbah - Department of Computer Science, Faculty of Computer Science and Information Technology, Jerash University, Jordan
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Srinivasarao Thota - Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Amaravati, Andhra Pradesh–522503, India
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Ala’a Saeb Al-Sherideh - Department of Cyber Security, Faculty of Information Technology, Zarqa University, Zarqa, Jordan
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Mohammad Rasmi Al-Mousa - Department of Cyber Security, Faculty of Information Technology, Zarqa University, Zarqa, Jordan
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How to Cite:
Feras Fares AL-Mashakbah, Srinivasarao Thota, Ala’a Saeb Al-Sherideh, Mohammad Rasmi Al-Mousa, Quantum-Enhanced Fractional Modeling of Zombie Infection Dynamics Using Hybrid Quantum Algorithms, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 105-113, 2026, Doi: https://dx.doi.org/10.18576/pfda/120107
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Stability Analysis and Modeling of Fractional Chemical Reactions Model with Convergence Solutions, Vol. 12, No. 1 (Jan. 2026), PP:115-133
doi:10.18576/pfda/120108
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Authors: |
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Muhammad Farman - Department of Mathematics, Faculty of Arts and Sciences, Near East University, PC: 99138, Nicosia /Mersin 10 – Turkey\\ International Centre for Interdisciplinary Research in Sciences, The University of Lahore, 54100, Lahore, Pakistan\\ Research Center of Applied Mathematics, Khazar University, Baku, AZ1096, Azerbaijan
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H. M. Younas - RIPHAH International University Faisalabad, Pakistan
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Ayesha Mukhtar - RIPHAH International University Faisalabad, Pakistan
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Aseel Smerat - Faculty of Educational Sciences, Al-Ahliyya Amman University, Amman 19328, Jordan\\ Department of Biosciences, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai, 602105, India
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Zaheer Ahmad - Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Raheem Yar Khan, Pakistan
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Mohamed Hafez - Faculty of Engineering and Quantity Surviving, INTI International University Colleges, Nilai, Malaysia\\ Faculty of Management, Shinawatra University, PathumThani, 12000, Thailand
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How to Cite:
Muhammad Farman, H. M. Younas, Ayesha Mukhtar, Aseel Smerat, Zaheer Ahmad, Mohamed Hafez, Stability Analysis and Modeling of Fractional Chemical Reactions Model with Convergence Solutions, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 115-133, 2026, Doi: https://dx.doi.org/10.18576/pfda/120108
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Analysis of Cholera Model Transmission Dynamics Via Classical and ABC Fractional Derivatives, Vol. 12, No. 1 (Jan. 2026), PP:135-154
doi:10.18576/pfda/120109
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Authors: |
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Tulu Leta Tirfe - Department of Mathematics, Bule Hora University, Bule Hora, Ethiopia
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Legesse Lemecha Obsu - Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia
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Eshetu Dadi Gurmu - Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia
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How to Cite:
Tulu Leta Tirfe, Legesse Lemecha Obsu, Eshetu Dadi Gurmu, Analysis of Cholera Model Transmission Dynamics Via Classical and ABC Fractional Derivatives, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 135-154, 2026, Doi: https://dx.doi.org/10.18576/pfda/120109
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Modeling and Mathematical Analysis of the Dynamics of Eye Infection (Conjunctivitis) Virus using Fractal-Fractional and Machine Learning Approach, Vol. 12, No. 1 (Jan. 2026), PP:155-171
doi:10.18576/pfda/120110
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Authors: |
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Mohammed A. El-Shorbagy - Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
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Arifa Samreen - Department of Mathematics, National University of Modren Languages Islamabad, Pakistan
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Mati ur Rahman - Department of Mathematics and Statistics, College of Sciences, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
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Hossam A. Nabwey - Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
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How to Cite:
Mohammed A. El-Shorbagy, Arifa Samreen, Mati ur Rahman, Hossam A. Nabwey, Modeling and Mathematical Analysis of the Dynamics of Eye Infection (Conjunctivitis) Virus using Fractal-Fractional and Machine Learning Approach, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 155-171, 2026, Doi: https://dx.doi.org/10.18576/pfda/120110
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On the Λ-Fractional Hodgkin-Huxley Model, Vol. 12, No. 1 (Jan. 2026), PP:173-178
doi:10.18576/pfda/120111
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How to Cite:
Dimitrios Karaoulanis, Anastasios Konstantinos Lazopoulos, Konstantinos Anastasios Lazopoulos, On the Λ-Fractional Hodgkin-Huxley Model, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 173-178, 2026, Doi: https://dx.doi.org/10.18576/pfda/120111
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Analytical Solution of the Fractional Ro ̈ssler Chaotic System via a Novel Natural Transform Homotopy Method, Vol. 12, No. 1 (Jan. 2026), PP:179-189
doi:10.18576/pfda/120112
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Authors: |
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Ali Latif Arif - Factually of Midicin, University of Thi-Qar, Thi-Qar, Iraq
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Naser Rhaif Swain - Educational Directorate of Thi-Qar, Thi-Qar, Iraq\\ College of Technical Engineering, National University of Science and Technology, Thi-Qar, Iraq
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Hassan Kamil Jassim - Department of Mathematics, Factually of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
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How to Cite:
Ali Latif Arif, Naser Rhaif Swain, Hassan Kamil Jassim, Analytical Solution of the Fractional Ro ̈ssler Chaotic System via a Novel Natural Transform Homotopy Method, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 179-189, 2026, Doi: https://dx.doi.org/10.18576/pfda/120112
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Control and Mitigation Strategies for Fractional Order ENSO Model via Artificial Neural Network Approach, Vol. 12, No. 1 (Jan. 2026), PP:191-209
doi:10.18576/pfda/120113
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Authors: |
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Jagdev Singh - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
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Rakesh Saini - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
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Dumitru Baleanu - Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
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Devendra Kumar - Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
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How to Cite:
Jagdev Singh, Rakesh Saini, Dumitru Baleanu, Devendra Kumar, Control and Mitigation Strategies for Fractional Order ENSO Model via Artificial Neural Network Approach, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 191-209, 2026, Doi: https://dx.doi.org/10.18576/pfda/120113
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Conformable NE Transform: Theories, Methods and Applications, Vol. 12, No. 1 (Jan. 2026), PP:211-224
doi:10.18576/pfda/120114
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Authors: |
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Mohamed Hafez - Faculty of Engineering and Quantity Surveying INTI, IU, Universi, Nilai, Malaysia\\ Faculty of Management, Shinawatra University, Pathum Thani, Thailand
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Esra Karatas Akgu ̈l - Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey
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Mohamad Shakri Shariff - Faculty of Engineering and Quantity Surveying INTI, IU, Universi, Nilai, Malaysia
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How to Cite:
Mohamed Hafez, Esra Karatas Akgu ̈l, Mohamad Shakri Shariff, Conformable NE Transform: Theories, Methods and Applications, Progress in Fractional Differentiation and Applications, Vol. 12, No. 1, pp: 211-224, 2026, Doi: https://dx.doi.org/10.18576/pfda/120114
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