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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Vol. 12 > Jan. 2026

 

 

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:
Nasser Hassan Sweilam - Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt
Nourhan Hamdy - Engineering Sciences and Mathematics Department, Faculty of Petroleum and Mining Engineering, Suez University, Suez, Egypt
Ehab A. El-Sayed - Engineering Sciences and Mathematics Department, Faculty of Petroleum and Mining Engineering, Suez University, Suez, Egypt
Tarek Emam - Department of Mathematics, Faculty of Science, Suez University, Suez, Egypt

 

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:
Mohamed A. Hafez - Faculty of Engineering and Quantity Surviving, INTI International University Colleges, Nilai, Malaysia\\ Faculty of Management, Shinawatra University, Pathum Thani, Thailand
Mohamed Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
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
Zafar Iqbal - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Nauman Ahmed - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Umaima Akhtar - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Betty Wan Voon - Department of Civil Engineering, (COE), Universiti Tenaga Nasional, Kajang, Malaysia

 

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:
Obaida Aljabari - Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
Shaher Momani - Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
Iqbal M. Batiha - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan
Mohammad Odeh - Department of Mathematics, Philadelphia University, Amman 19392, Jordan

 

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:
Mazin Aljazzazi - Department of Mathematics, Faculty of Science, The University of Jordan, Amman, 11942, Jordan
Shaher Momani - Department of Mathematics, Faculty of Science, The University of Jordan, Amman, 11942, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
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
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

 

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:
George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

 

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:
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
Abdul Sattar Ghaffari - Department of ORIC, Shifa Tameer-e-Millat University, Islamabad, Pakistan
David Amilo - Department of Mathematics, Mathematics Research Center, Near East University, Nicosia /Mersin 10 Turkey
Zubaria Parvez - Faculty of Educational Sciences, Al-Ahliyya Amman University, Amman 19328, Jordan
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
Mohamed Hafez - Faculty of Engineering and Quantity Surviving, INTI International University Colleges, Nilai, Malaysia\\ Faculty of Management, Shinawatra, Pathum Thani, Thailand

 

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:
Feras Fares AL-Mashakbah - Department of Computer Science, Faculty of Computer Science and Information Technology, Jerash University, Jordan
Srinivasarao Thota - Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Amaravati, Andhra Pradesh–522503, India
Ala’a Saeb Al-Sherideh - Department of Cyber Security, Faculty of Information Technology, Zarqa University, Zarqa, Jordan
Mohammad Rasmi Al-Mousa - Department of Cyber Security, Faculty of Information Technology, Zarqa University, Zarqa, Jordan

 

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:
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
H. M. Younas - RIPHAH International University Faisalabad, Pakistan
Ayesha Mukhtar - RIPHAH International University Faisalabad, Pakistan
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
Zaheer Ahmad - Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Raheem Yar Khan, Pakistan
Mohamed Hafez - Faculty of Engineering and Quantity Surviving, INTI International University Colleges, Nilai, Malaysia\\ Faculty of Management, Shinawatra University, PathumThani, 12000, Thailand

 

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:
Tulu Leta Tirfe - Department of Mathematics, Bule Hora University, Bule Hora, Ethiopia
Legesse Lemecha Obsu - Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia
Eshetu Dadi Gurmu - Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia

 

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:
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
Arifa Samreen - Department of Mathematics, National University of Modren Languages Islamabad, Pakistan
Mati ur Rahman - Department of Mathematics and Statistics, College of Sciences, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
Hossam A. Nabwey - Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

 

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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Authors:
Dimitrios Karaoulanis - School of Electrical and Computer Engineering National Technical University of Athens, Greece 15780
Anastasios Konstantinos Lazopoulos - Mathematical Sciences Department, Hellenic Army Academy, Vari, Greece 16673
Konstantinos Anastasios Lazopoulos - Independent researcher

 

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:
Ali Latif Arif - Factually of Midicin, University of Thi-Qar, Thi-Qar, Iraq
Naser Rhaif Swain - Educational Directorate of Thi-Qar, Thi-Qar, Iraq\\ College of Technical Engineering, National University of Science and Technology, Thi-Qar, Iraq
Hassan Kamil Jassim - Department of Mathematics, Factually of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq

 

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:
Jagdev Singh - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
Rakesh Saini - Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
Dumitru Baleanu - Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Devendra Kumar - Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India

 

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:
Mohamed Hafez - Faculty of Engineering and Quantity Surveying INTI, IU, Universi, Nilai, Malaysia\\ Faculty of Management, Shinawatra University, Pathum Thani, Thailand
Esra Karatas Akgu ̈l - Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey
Mohamad Shakri Shariff - Faculty of Engineering and Quantity Surveying INTI, IU, Universi, Nilai, Malaysia

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