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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 11 > Oct. 2025

 

 

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:
Nisha Meena - Department of Mathematics, Jaipur National University, Jaipur, India
Shilpy Jain - Department of Mathematics, Poornima College of Engineering, Jaipur 302022, India
Yogesh Khandelwal - Department of Mathematics, Jaipur National University, Jaipur, India
Murli Manohar Gour - Department of Mathematics, Vivekananda Global University, Jaipur, India
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

 

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:
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
Hossein Nasrolahpour - School of Computational Science and Engineering, University of Tehran, Tehran, Iran
Nezha Maamri - LIAS Laboratory, ENSIP, University of Poitiers, France
Jean-Claude Trigeassou - IMS-LAPS, University of Bordeaux, Talence, France
Rashid Nasrolahpour - Department of Physics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
Shaher Momani - Nonlinear Dynamics Research Centre (NDRC),Ajman University, Ajman, UAE\\ Department of Mathematics, Faculty of Science,the University of Jordan,Amman 11942, Jordan

 

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:
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
Hassan K. Jassim - Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq

 

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:
Nasser. H. Sweilam - Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Adel.A. Darwish - Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt
Nada Henidy - Department of Mathematics, Obour Higher Institute of Management, Computers and MIS, Cairo, Egypt
Salma A. Shatta - Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt

 

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:
Muhammad Shoaib Arif - Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
Kamaleldin Abodayeh - Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
Asad Ejaz - Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan

 

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:
Fadi Awawdeh - Department of Mathematics, Faculty of Science, The Hashemite University, P.O box 330127, Zarqa 13133, Jordan
Mona Khandaqji - Department of Mathematics, Faculty of Science, Applied Science Private University, Amman 11937, Jordan
Rafat Alshorman - Department of Computer Science, Yarmouk University, Irbid 21163, Jordan

 

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:
Mohamed A. Hafez - Faculty of Engineering and Quantity Surviving, INTI International University Colleges, Nilai, Malaysia\\ Faculty of Management, Shinawatra University, Pathum Thani, Thailand
Montasir Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
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
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
Betty Wan Voon - Department of Civil Engineering, (COE), Universiti Tenaga Nasional, Kajang, Malaysia

 

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:
Mohamed A. Hafez - Faculty of Engineering and Quantity Surviving, INTI International University Colleges, Nilai, Malaysia\\ Faculty of Management, Shinawatra University, Pathum Thani, Thailand
Montasir 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
Muhammad Shahzad - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Betty Wan Voon - Department of Civil Engineering, (COE), Universiti Tenaga Nasional, Kajang, Malaysia

 

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:
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
Montasir Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
Shabir Ahmad - Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Zakaria Che Muda - Faculty of Engineering and Quantity Surveying, INTI International University, 71800 Nilai, Malaysia
Nauman Ahmed - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

 

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:
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
Montasir Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
Nauman Ahmed - Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Zakaria Che Muda - Faculty of Engineering and Quantity Surveying, INTI International University, 71800 Nilai, Malaysia
Enver U ̈lgu ̈l - Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey
Necibullah Sakar - 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

 

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:
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
Montasir Qasymeh - Electrical and Computer Engineering Department, Abu Dhabi University, Abu Dhabi, United Arab Emirates
Rabia Sarwar - Institute of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
Zakaria Che Muda - Faculty of Engineering and Quantity Surveying, INTI International University, 71800 Nilai, Malaysia
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
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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