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A New Fractal Derivative and its Properties, Vol. 11, No. 3 (Jul. 2025), PP:433-442
doi:10.18576/pfda/110301
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Authors: |
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Lakhlifa Sadek - Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamilnadu, India\\ Department of Mathematics, Faculty of Sciences and Technology, BP 34. Ajdir 32003 Al-Hoceima, Abdelmalek Essaadi University, Tetouan, Morocco
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Ali Akgu ̈l - Department of Electronics and Communication Engineering, Saveetha School of Engineering,SIMATS, Chennai, Tamilnadu, India\\ Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey\\ Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, PC: 99138, Nicosia /Mersin 10 – Turkey\\ Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon\\ Department of Computer Engineering, Biruni University, 34010 Topkapı, Istanbul, Turkey
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Hamad Talibi Alaoui - Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
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How to Cite:
Lakhlifa Sadek, Ali Akgu ̈l, Hamad Talibi Alaoui, A New Fractal Derivative and its Properties, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 433-442, 2025, Doi: https://dx.doi.org/10.18576/pfda/110301
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A New Definition of Fractal Derivative and Stability of Fractal Dynamical Systems, Vol. 11, No. 3 (Jul. 2025), PP:443-455
doi:10.18576/pfda/110302
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Authors: |
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Lakhlifa Sadek - Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamilnadu, India\\ Faculty of Sciences and Technology, BP 34. Ajdir 32003 Al-Hoceima, Abdelmalek Essaadi University, Tetouan, Morocco
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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\\ Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, PC: 99138, Nicosia /Mersin 10 – Turkey\\ Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon\\ Department of Computer Engineering, Biruni University, 34010 Topkapı, Istanbul, Turkey
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Hamad Talibi Alaoui - Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
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How to Cite:
Lakhlifa Sadek, Ali Akgu ̈l, Hamad Talibi Alaoui, A New Definition of Fractal Derivative and Stability of Fractal Dynamical Systems, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 443-455, 2025, Doi: https://dx.doi.org/10.18576/pfda/110302
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Analyzing Solitary Wave Solutions in M-Truncated Fractional-Order Space-Time Burgers-Like Equations, Vol. 11, No. 3 (Jul. 2025), PP:457-465
doi:10.18576/pfda/110303
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Authors: |
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Bent Elmina Haroun Khaled - Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia
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Ammar Elobeid Ahmed - Applied College, Majmaah, University, Saudi Arabia
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Ehssan Abdalrhim - Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia
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Mona Ahmed Mohammed - Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia
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Hawa Osman Ibnouf - Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia
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How to Cite:
Bent Elmina Haroun Khaled, Ammar Elobeid Ahmed, Ehssan Abdalrhim, Mona Ahmed Mohammed, Hawa Osman Ibnouf, Analyzing Solitary Wave Solutions in M-Truncated Fractional-Order Space-Time Burgers-Like Equations, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 457-465, 2025, Doi: https://dx.doi.org/10.18576/pfda/110303
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Analysis of Fractional-Order Model for COVID-19: Implications for Transmission, Hospitalisation, and Recovery Trends, Vol. 11, No. 3 (Jul. 2025), PP:467-489
doi:10.18576/pfda/110304
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Authors: |
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John Olajide Akanni - Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India\\ Department of Mathematical and Computing Sciences, Koladaisi University, Ibadan, Oyo State, Nigeria
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Saheed Ajao - Department of Mathematics and Computer Science, Elizade University, Ondo State, Nigeria
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Abayomi Ayotunde Ayoade - Department of Mathematics, University of Lagos, Akoka, Lagos State, Nigeria
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Chinwendu Emilian Madubueze - Department of Mathematics, Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria
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Fatmawati Fatmawati - Department of Mathematics, Universitas Airlangga, Kampus C Mulyorejo Surabaya 60115, Indonesia
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How to Cite:
John Olajide Akanni, Saheed Ajao, Abayomi Ayotunde Ayoade, Chinwendu Emilian Madubueze, Fatmawati Fatmawati, Analysis of Fractional-Order Model for COVID-19: Implications for Transmission, Hospitalisation, and Recovery Trends, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 467-489, 2025, Doi: https://dx.doi.org/10.18576/pfda/110304
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Limit-Residual Function Method: A New Approach to Creating a Power Series Solution for Fractional Differential Equations, Vol. 11, No. 3 (Jul. 2025), PP:491-505
doi:10.18576/pfda/110305
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Authors: |
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Aliaa Burqan - Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan
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Ahmad El-Ajou - Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt 19117, Jordan
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How to Cite:
Aliaa Burqan, Ahmad El-Ajou, Limit-Residual Function Method: A New Approach to Creating a Power Series Solution for Fractional Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 491-505, 2025, Doi: https://dx.doi.org/10.18576/pfda/110305
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A Semi-Analytical Technique for Solving the Time-Fractional Kaup-Kupershmidt Equation, Vol. 11, No. 3 (Jul. 2025), PP:507-520
doi:10.18576/pfda/110306
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Authors: |
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Aliaa Burqan - Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan
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Ahmad Al-Natoor - Department of Mathematics, Faculty of Sciences, Isra University, Amman 11622, Jordan
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How to Cite:
Aliaa Burqan, Ahmad Al-Natoor, A Semi-Analytical Technique for Solving the Time-Fractional Kaup-Kupershmidt Equation, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 507-520, 2025, Doi: https://dx.doi.org/10.18576/pfda/110306
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An Exploration of Discrete Fractional Calculus with Applications to Intermittent Oncological Modeling, Vol. 11, No. 3 (Jul. 2025), PP:521-538
doi:10.18576/pfda/110307
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Authors: |
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Casey J. Mills - Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA
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Raegan Higgins - Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA
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How to Cite:
Casey J. Mills, Raegan Higgins, An Exploration of Discrete Fractional Calculus with Applications to Intermittent Oncological Modeling, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 521-538, 2025, Doi: https://dx.doi.org/10.18576/pfda/110307
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The Approximate Solutions and Stability Analysis for Blood Ethanol Concentration System, Vol. 11, No. 3 (Jul. 2025), PP:539-546
doi:10.18576/pfda/110308
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Authors: |
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Hassan Kamil Jassim - Department of Mathematics, Faculty of Education for Pure Sciences,University of Thi-Qar, Iraq
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Ali Latif Arif - Department of Mathematics, Faculty of Education for Pure Sciences,University of Thi-Qar, Iraq
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How to Cite:
Hassan Kamil Jassim, Ali Latif Arif, The Approximate Solutions and Stability Analysis for Blood Ethanol Concentration System, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 539-546, 2025, Doi: https://dx.doi.org/10.18576/pfda/110308
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New Perspectives of the Lambert-Widder Transform: Singular Non-Local Operators with Exponential Memory, Vol. 11, No. 3 (Jul. 2025), PP:547-584
doi:10.18576/pfda/110309
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Authors: |
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Jordan Hristov - Department of Chemical Engineering, University of Chemical Technology and Metallurgy, Sofia, Bulgaria
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How to Cite:
Jordan Hristov, New Perspectives of the Lambert-Widder Transform: Singular Non-Local Operators with Exponential Memory, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 547-584, 2025, Doi: https://dx.doi.org/10.18576/pfda/110309
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Exploring Impulsive Fractional Derivatives with Mixed-Delay Integral Boundary Constraints, Vol. 11, No. 3 (Jul. 2025), PP:595-611
doi:10.18576/pfda/110311
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Authors: |
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Kottakkaran Sooppy Nisar - Department of Mathematics, College of Science and Humanities in Al Kharj, Prince Sattam Bin Abdulaziz University, Al Kharj, 11942, Saudi Arabia\\ Hourani Center for Applied Scientific Research, Al-Ahliyya Amman University, Jordan
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Muhannad Ibrahim Al-Shartab - 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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Chokkalingam Ravichandran - Department of Mathematics, Kongunadu Arts and Science College, Coimbatore - 641 029, Tamil Nadu, India
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Abdel-Haleem Abdel-Aty - Department of Physics, College of Sciences, University of Bisha, Bisha 61922, Saudi Arabia
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Mohamed R. Eid - Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia
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How to Cite:
Kottakkaran Sooppy Nisar, Muhannad Ibrahim Al-Shartab, Chokkalingam Ravichandran, Abdel-Haleem Abdel-Aty, Mohamed R. Eid, Exploring Impulsive Fractional Derivatives with Mixed-Delay Integral Boundary Constraints, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 595-611, 2025, Doi: https://dx.doi.org/10.18576/pfda/110311
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An Initial-Boundary Problem for a Mixed Fractional Wave Equation, Vol. 11, No. 3 (Jul. 2025), PP:613-621
doi:10.18576/pfda/110312
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Authors: |
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Nasser Al-Salti - Department of Applied Mathematics and Science, National University of Science and Technology, Muscat, Oman\\ FracDiff Research Group (DR/RG/03), Sultan Qaboos University, Muscat, Oman
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Erkinjon Karimov - Ghent University, Ghent-9000, Belgium\\ FracDiff Research Group (DR/RG/03), Sultan Qaboos University, Muscat, Oman
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Muna Al-Ghabshi - Department of Applied Mathematics and Science, National University of Science and Technology, Muscat, Oman
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How to Cite:
Nasser Al-Salti, Erkinjon Karimov, Muna Al-Ghabshi, An Initial-Boundary Problem for a Mixed Fractional Wave Equation, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 613-621, 2025, Doi: https://dx.doi.org/10.18576/pfda/110312
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Advanced Results by Using New Generalized Definition of Fractional Derivative without Singular Kernel, Vol. 11, No. 3 (Jul. 2025), PP:623-629
doi:10.18576/pfda/110313
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Authors: |
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Kiran Yadav - Department of Mathematics, Madhav University, Sirohi, Rajasthan, India
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Manoj Sharma - Department of Mathematics, RJIT, BSF Academy, Tekanpur, India
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Mohd. Farman Ali - Department of Mathematics, Madhav University, Sirohi, Rajasthan, India
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Ashish Sharma - Amity University, Gwalior, India
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Riyaz Ahmed Khan - Preparatory Studies Centre, University of Technology and Applied Sciences, Nizwa, Oman
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How to Cite:
Kiran Yadav, Manoj Sharma, Mohd. Farman Ali, Ashish Sharma, Riyaz Ahmed Khan, Advanced Results by Using New Generalized Definition of Fractional Derivative without Singular Kernel, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 623-629, 2025, Doi: https://dx.doi.org/10.18576/pfda/110313
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Specific Properties of Fractional Kinetic Equations with the Advanced K-Bessel Function, Vol. 11, No. 3 (Jul. 2025), PP:631-640
doi:10.18576/pfda/110314
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Authors: |
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Kiran Yadav - Department of Mathematics, Madhav University, Sirohi, Rajasthan, India
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Mohd. Farman Ali - Department of Mathematics, Madhav University, Sirohi, Rajasthan, India
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Manoj Sharma - Department of Mathematics, RJIT, BSF Academy, Tekanpur, India
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Ashish Sharma - Amity University, Gwalior, India
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Riyaz Ahmed Khan - Preparatory Studies Centre, University of Technology and Applied Sciences, Nizwa, Oman
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How to Cite:
Kiran Yadav, Mohd. Farman Ali, Manoj Sharma, Ashish Sharma, Riyaz Ahmed Khan, Specific Properties of Fractional Kinetic Equations with the Advanced K-Bessel Function, Progress in Fractional Differentiation and Applications, Vol. 11, No. 3, pp: 631-640, 2025, Doi: https://dx.doi.org/10.18576/pfda/110314
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