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A Numerical Investigation of Systems of Partial Differential Equations Under Non-Singular Kernel, Vol. 11, No. 4 (Oct. 2025), PP:641-652
doi:10.18576/pfda/110401
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Authors: |
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Nisha Meena - Department of Mathematics, Jaipur National University, Jaipur, India
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Shilpy Jain - Department of Mathematics, Poornima College of Engineering, Jaipur 302022, India
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Yogesh Khandelwal - Department of Mathematics, Jaipur National University, Jaipur, India
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Murli Manohar Gour - Department of Mathematics, Vivekananda Global University, Jaipur, India
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Praveen Agarwal - Department of Mathematical Sciences, Saveetha School of Engineering, Chennai, Tamilnadu, 602105 India\\ Department of Mathematics, Anand International College of Engineering, Jaipur-303012, India
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How to Cite:
Nisha Meena, Shilpy Jain, Yogesh Khandelwal, Murli Manohar Gour, Praveen Agarwal, A Numerical Investigation of Systems of Partial Differential Equations Under Non-Singular Kernel, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 641-652, 2025, Doi: https://dx.doi.org/10.18576/pfda/110401
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Dynamics of DNA Methylation: Fractional Model Approach, Vol. 11, No. 4 (Oct. 2025), PP:653-660
doi:10.18576/pfda/110402
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Authors: |
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Praveen Agarwal - Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198 Moscow, Russian Federation\\ Applied Nonlinear Science Lab, Anand International College of Engineering, Jaipur 303012, India\\ Nonlinear Dynamics Research Centre (NDRC),Ajman University, Ajman, UAE
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Hossein Nasrolahpour - School of Computational Science and Engineering, University of Tehran, Tehran, Iran
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Nezha Maamri - LIAS Laboratory, ENSIP, University of Poitiers, France
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Jean-Claude Trigeassou - IMS-LAPS, University of Bordeaux, Talence, France
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Rashid Nasrolahpour - Department of Physics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
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Shaher Momani - Nonlinear Dynamics Research Centre (NDRC),Ajman University, Ajman, UAE\\ Department of Mathematics, Faculty of Science,the University of Jordan,Amman 11942, Jordan
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How to Cite:
Praveen Agarwal, Hossein Nasrolahpour, Nezha Maamri, Jean-Claude Trigeassou, Rashid Nasrolahpour, Shaher Momani, Dynamics of DNA Methylation: Fractional Model Approach, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 653-660, 2025, Doi: https://dx.doi.org/10.18576/pfda/110402
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A Modified Iterative Approach Using YJ Transform for Solving Fractional PDEs, Vol. 11, No. 4 (Oct. 2025), PP:661-676
doi:10.18576/pfda/110403
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Authors: |
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Sahib A. Sachit - Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq\\ College of Technical Engineering, National University of Science and Technology, Thi-Qar, Iraq
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Hassan K. Jassim - Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq
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How to Cite:
Sahib A. Sachit, Hassan K. Jassim, A Modified Iterative Approach Using YJ Transform for Solving Fractional PDEs, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 661-676, 2025, Doi: https://dx.doi.org/10.18576/pfda/110403
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Two Weighted Average Finite Difference Schemes for Variable-Order Fractional Mixed Diffusion and Diffusion-Wave Equation, Vol. 11, No. 4 (Oct. 2025), PP:677-689
doi:10.18576/pfda/110404
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Authors: |
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Nasser. H. Sweilam - Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
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Adel.A. Darwish - Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt
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Nada Henidy - Department of Mathematics, Obour Higher Institute of Management, Computers and MIS, Cairo, Egypt
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Salma A. Shatta - Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt
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How to Cite:
Nasser. H. Sweilam, Adel.A. Darwish, Nada Henidy, Salma A. Shatta, Two Weighted Average Finite Difference Schemes for Variable-Order Fractional Mixed Diffusion and Diffusion-Wave Equation, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 677-689, 2025, Doi: https://dx.doi.org/10.18576/pfda/110404
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A Design of Predictive Eco-Epidemiological Fractional Model (3 Species) Induced by Disease in Prey, Vol. 11, No. 4 (Oct. 2025), PP:691-704
doi:10.18576/pfda/110405
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Authors: |
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Muhammad Shoaib Arif - Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
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Kamaleldin Abodayeh - Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
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Asad Ejaz - Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan
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How to Cite:
Muhammad Shoaib Arif, Kamaleldin Abodayeh, Asad Ejaz, A Design of Predictive Eco-Epidemiological Fractional Model (3 Species) Induced by Disease in Prey, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 691-704, 2025, Doi: https://dx.doi.org/10.18576/pfda/110405
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Theory and Applications of an Inverse Source Problem for Anomalous Diffusion Processes, Vol. 11, No. 4 (Oct. 2025), PP:705-712
doi:10.18576/pfda/110406
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Authors: |
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Fadi Awawdeh - Department of Mathematics, Faculty of Science, The Hashemite University, P.O box 330127, Zarqa 13133, Jordan
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Mona Khandaqji - Department of Mathematics, Faculty of Science, Applied Science Private University, Amman 11937, Jordan
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Rafat Alshorman - Department of Computer Science, Yarmouk University, Irbid 21163, Jordan
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How to Cite:
Fadi Awawdeh, Mona Khandaqji, Rafat Alshorman, Theory and Applications of an Inverse Source Problem for Anomalous Diffusion Processes, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 705-712, 2025, Doi: https://dx.doi.org/10.18576/pfda/110406
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Numerical and Dynamical Analysis of an Infectious Disease Epidemic Model Through Fractional Derivative, Vol. 11, No. 4 (Oct. 2025), PP:713-725
doi:10.18576/pfda/110407
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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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Montasir Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
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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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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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Betty Wan Voon - Department of Civil Engineering, (COE), Universiti Tenaga Nasional, Kajang, Malaysia
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How to Cite:
Mohamed A. Hafez, Montasir Qasymeh, Zafar Iqbal, Nauman Ahmed, Ali Akgu ̈l, Betty Wan Voon, Numerical and Dynamical Analysis of an Infectious Disease Epidemic Model Through Fractional Derivative, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 713-725, 2025, Doi: https://dx.doi.org/10.18576/pfda/110407
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Consistent Numerical Scheme and Unique Existence of the Solutions for Fractional COVID-19 Model, Vol. 11, No. 4 (Oct. 2025), PP:727-751
doi:10.18576/pfda/110408
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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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Montasir 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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Muhammad Shahzad - 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, Montasir Qasymeh, Ali Akgu ̈l, Zafar Iqbal, Nauman Ahmed, Muhammad Shahzad, Betty Wan Voon, Consistent Numerical Scheme and Unique Existence of the Solutions for Fractional COVID-19 Model, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 727-751, 2025, Doi: https://dx.doi.org/10.18576/pfda/110408
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Numerical Simulations and Analyzing the Dynamics of Hepatitis B Virus With Immune Delay Under Novel Operators, Vol. 11, No. 4 (Oct. 2025), PP:753-781
doi:10.18576/pfda/110409
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Authors: |
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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, TR-56100 Siirt, Turkey
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Montasir Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
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Shabir Ahmad - Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
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Zakaria Che Muda - Faculty of Engineering and Quantity Surveying, INTI International University, 71800 Nilai, Malaysia
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Nauman Ahmed - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
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How to Cite:
Ali Akgu ̈l, Montasir Qasymeh, Shabir Ahmad, Zakaria Che Muda, Nauman Ahmed, Numerical Simulations and Analyzing the Dynamics of Hepatitis B Virus With Immune Delay Under Novel Operators, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 753-781, 2025, Doi: https://dx.doi.org/10.18576/pfda/110409
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A Hybrid Fractional Model for Whooping Cough-Like Infections, Vol. 11, No. 4 (Oct. 2025), PP:783-802
doi:10.18576/pfda/110410
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Authors: |
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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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Montasir Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
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Nauman Ahmed - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
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Zakaria Che Muda - Faculty of Engineering and Quantity Surveying, INTI International University, 71800 Nilai, Malaysia
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Enver U ̈lgu ̈l - Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey
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Necibullah Sakar - 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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How to Cite:
Ali Akgu ̈l, Montasir Qasymeh, Nauman Ahmed, Zakaria Che Muda, Enver U ̈lgu ̈l, Necibullah Sakar, Zafar Iqbal, A Hybrid Fractional Model for Whooping Cough-Like Infections, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 783-802, 2025, Doi: https://dx.doi.org/10.18576/pfda/110410
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Modeling and Advance Analysis on the Network of Militants with Mittag-Leffler kernel, Vol. 11, No. 4 (Oct. 2025), PP:803-817
doi:10.18576/pfda/110411
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Authors: |
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Muhammad Farman - Department of Mathematics, Faculty of Arts and Sciences, Near East University, Turkey\\ Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Campus Besut, 22200 Terengganu, Malaysia
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Montasir Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
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Rabia Sarwar - Institute of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
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Zakaria Che Muda - Faculty of Engineering and Quantity Surveying, INTI International University, 71800 Nilai, Malaysia
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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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Aceng Sambas - Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Campus Besut, 22200 Terengganu, Malaysia\\ Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tamansari Gobras 46196 Tasikmalaya, Indonesia
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How to Cite:
Muhammad Farman, Montasir Qasymeh, Rabia Sarwar, Zakaria Che Muda, Ali Akgu ̈l, Aceng Sambas, Modeling and Advance Analysis on the Network of Militants with Mittag-Leffler kernel, Progress in Fractional Differentiation and Applications, Vol. 11, No. 4, pp: 803-817, 2025, Doi: https://dx.doi.org/10.18576/pfda/110411
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