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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 10 > Apr. 2024

 

 

Fractional Spectral Approaches for Some Fractional Partial Differential Equations, Vol. 10, No. 2 (Apr. 2024), PP:197-208

doi:10.18576/pfda/100201

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Authors:
Saad Zagloul Rida - Mathematics Department, Faculty of Science, South Valley University, Postal code: 83523, Qena, Egypt
Hussein Shafei Hussein - Mathematics Department, Faculty of Science, South Valley University, Postal code: 83523, Qena, Egypt
Alla Hassan Noureldeen - Mathematics Department, Faculty of Science, Aswan University, Postal code: 81528, Aswan, Egypt
Mona Mahmoud Farag - Mathematics Department, Faculty of Science, Aswan University, Postal code: 81528, Aswan, Egypt

How to Cite:
Saad Zagloul Rida, Hussein Shafei Hussein, Alla Hassan Noureldeen, Mona Mahmoud Farag, Fractional Spectral Approaches for Some Fractional Partial Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 197-208, 2024, Doi: https://dx.doi.org/10.18576/pfda/100201

 

Dynamical Behavior of Fractional Order Breast Cancer Model: an Analytical and Numerical Study, Vol. 10, No. 2 (Apr. 2024), PP:209-223

doi:10.18576/pfda/100202

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Authors:
Hegagi Mohamed Ali - Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, Egypt
Saad Zagloul Rida - Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Ahmed Mohammed Yousef - Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Asmaa Sabry Zaki - Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, Egypt

How to Cite:
Hegagi Mohamed Ali, Saad Zagloul Rida, Ahmed Mohammed Yousef, Asmaa Sabry Zaki, Dynamical Behavior of Fractional Order Breast Cancer Model: an Analytical and Numerical Study, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 209-223, 2024, Doi: https://dx.doi.org/10.18576/pfda/100202

 

An Efficient Model for Solving Fractional Order Partial Differential Equations, Vol. 10, No. 2 (Apr. 2024), PP:225-230

doi:10.18576/pfda/100203

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Authors:
Lamees K. Alzaki - Department of Mathematics, College of Education for Pure Science, University of Thi-Qar, Thi-Qar, Iraq
Hassan Kamil Jassim - Department of Mathematics, College of Education for Pure Science, University of Thi-Qar, Thi-Qar, Iraq

How to Cite:
Lamees K. Alzaki, Hassan Kamil Jassim, An Efficient Model for Solving Fractional Order Partial Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 225-230, 2024, Doi: https://dx.doi.org/10.18576/pfda/100203

 

Infinitely Many Solutions for Fractional Hamiltonian Systems with Locally Defined Potentials, Vol. 10, No. 2 (Apr. 2024), PP:231-240

doi:10.18576/pfda/100204

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Authors:
Wafa Selmi - Department of Mathematics, Faculty of Sciences, Monastir University, Monastir, Tunisia
Mohsen Timoumi - Faculty of Sciences, Monastir University, Monastir, Tunisia

How to Cite:
Wafa Selmi, Mohsen Timoumi, Infinitely Many Solutions for Fractional Hamiltonian Systems with Locally Defined Potentials, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 231-240, 2024, Doi: https://dx.doi.org/10.18576/pfda/100204

 

Solving the Lane-Emden and Emden-Fowler equations on Cantor Sets by the Local Fractional Homotopy Analysis Method, Vol. 10, No. 2 (Apr. 2024), PP:241-250

doi:10.18576/pfda/100205

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Authors:
Djelloul Ziane - Department of Mathematics, Faculty of Mathematics and Science of Matter, Kasdi Merbah University of Ouargla, Ouargla, Algeria
Mountassir Hamdi Cherif - Hight School of Electrical and Energetics Engineering of Oran (ESGEE-Oran), Oran, Algeria
Waleed Adel - Laboratoire Interdisciplinaire de l’Universite ́ Francaise d’Egypte (UFEID Lab), Universite ́ Francaise d’Egypte, Cairo 11837, Egypt\\ Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt

How to Cite:
Djelloul Ziane, Mountassir Hamdi Cherif, Waleed Adel, Solving the Lane-Emden and Emden-Fowler equations on Cantor Sets by the Local Fractional Homotopy Analysis Method, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 241-250, 2024, Doi: https://dx.doi.org/10.18576/pfda/100205

 

Solutions of Fuzzy Fractional Differential Equations, Vol. 10, No. 2 (Apr. 2024), PP:251-259

doi:10.18576/pfda/100206

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Authors:
Atimad Harir - Laboratory of Mathematical Modeling and Economic Calculation Department of Economics, Faculty of Economics and Management, University Hassan 1er, Settat, Morocco
Said Melliani - Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University P.O. Box 523, Beni Mellal, 23000, Morocco
Lalla Saadia Chadli - Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University P.O. Box 523, Beni Mellal, 23000, Morocco

How to Cite:
Atimad Harir, Said Melliani, Lalla Saadia Chadli, Solutions of Fuzzy Fractional Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 251-259, 2024, Doi: https://dx.doi.org/10.18576/pfda/100206

 

Solution of Conformable Fractional Heat Equation Using Fractional Bessel Functions, Vol. 10, No. 2 (Apr. 2024), PP:261-270

doi:10.18576/pfda/100207

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Authors:
Almajeda Naamneh - Department of Mathematics, Faculty of Sciences, Yarmouk Univeristy, Irbid, Jordan
Sharifa Alsharif - Department of Mathematics, Faculty of Sciences, Yarmouk Univeristy, Irbid, Jordan
Edris Rawashdeh - Department of Mathematics, Faculty of Sciences, Yarmouk Univeristy, Irbid, Jordan

How to Cite:
Almajeda Naamneh, Sharifa Alsharif, Edris Rawashdeh, Solution of Conformable Fractional Heat Equation Using Fractional Bessel Functions, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 261-270, 2024, Doi: https://dx.doi.org/10.18576/pfda/100207

 

Applying Conformable Double Sumudu – Elzaki Approach to Solve Nonlinear Fractional Problems, Vol. 10, No. 2 (Apr. 2024), PP:271-286

doi:10.18576/pfda/100208

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Authors:
Shams A. Ahmed - Department of Mathematic, Faculty of Sciences and Arts, Jouf University, Tubarjal, Kingdom of Saudi Arabia\\ Department of Mathematics, University of Gezira, Sudan
Rania Saadeh - Department of Mathematics, Faculty of Science, Zarqa University, Jordan
Ahmad Qazza - Department of Mathematics, Faculty of Science, Zarqa University, Jordan
Tarig M. Elzaki - Department of Mathematic, Faculty of Sciences and Arts, Alkamil, Jeddah, University of Jeddah, Kingdom of Saudi Arabia

How to Cite:
Shams A. Ahmed, Rania Saadeh, Ahmad Qazza, Tarig M. Elzaki, Applying Conformable Double Sumudu – Elzaki Approach to Solve Nonlinear Fractional Problems, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 271-286, 2024, Doi: https://dx.doi.org/10.18576/pfda/100208

 

Analytical Solution of Cancer Cells Interaction with Virotherapy in the Framework of Fractional Derivative Operator, Vol. 10, No. 2 (Apr. 2024), PP:287-294

doi:10.18576/pfda/100209

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Authors:
Manish Sharma - Department of Mathematics, Shri Lal Bahadur Shastri Degree College, Gonda, UP, India
Manisha Halder - Department of Mathematics, St. John’s College, Agra, UP, India
Sanjeev Kumar - Department of Mathematics, Institute of Basic Sciences, Dr. B.R.Ambedkar University, Agra, UP, India
Sanjay K. Pandey - Department of Mathematics, Shri Lal Bahadur Shastri Degree College, Gonda, UP, India

How to Cite:
Manish Sharma, Manisha Halder, Sanjeev Kumar, Sanjay K. Pandey, Analytical Solution of Cancer Cells Interaction with Virotherapy in the Framework of Fractional Derivative Operator, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 287-294, 2024, Doi: https://dx.doi.org/10.18576/pfda/100209

 

Fractional Approach for Belousov-Zhabotinsky Reactions Model with Unified Technique, Vol. 10, No. 2 (Apr. 2024), PP:295-311

doi:10.18576/pfda/100210

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Authors:
Chandrali Baishya - Department of Studies and Research in Mathematics, Tumkur University, Tumkur-572103, India
Pundikala Veeresha - Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru - 560029, India

How to Cite:
Chandrali Baishya, Pundikala Veeresha, Fractional Approach for Belousov-Zhabotinsky Reactions Model with Unified Technique, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 295-311, 2024, Doi: https://dx.doi.org/10.18576/pfda/100210

 

Λ -Fractional Forced Van der Pol Oscillator with Horizon, Vol. 10, No. 2 (Apr. 2024), PP:313-321

doi:10.18576/pfda/100211

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Authors:
Dimitrios Karaoulanis - School of Electrical and Computer Engineering, National Technical University of Athens, Greece
Anastassios K. Lazopoulos - Mathematical Sciences Department, Hellenic Army Academy, Vari, Greece
Athanassios Pirentis - Independent Researcher
Konstantinos A. Lazopoulos - Independent Researcher

How to Cite:
Dimitrios Karaoulanis, Anastassios K. Lazopoulos, Athanassios Pirentis, Konstantinos A. Lazopoulos, Λ -Fractional Forced Van der Pol Oscillator with Horizon, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 313-321, 2024, Doi: https://dx.doi.org/10.18576/pfda/100211

 

Eco-epidemiological Model with Infected Prey: Dynamic Behaviour of a Fractional Order Model Including Prey Refuge and Type II Functional Response, Vol. 10, No. 2 (Apr. 2024), PP:323-333

doi:10.18576/pfda/100212

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Authors:
G. Ranjith Kumar - Department of Mathematics, Anurag University, Venkatapur, Hyderabad-500088, Telangana, India
K. Ramesh - Department of Mathematics, Anurag University, Venkatapur, Hyderabad-500088, Telangana, India
Fahad Sameer Alshammari - Department of Mathematics, College of science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Saudi Arabia
Kottakkaran Sooppy Nisar - Department of Mathematics, College of science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Saudi Arabia\\ Saveetha School of Engineering, SIMATS, Chennai, India
Abdel-Haleem Abdel-Aty - Department of Physics, College of Sciences, University of Bisha, Bisha 61922, Saudi Arabia
Ali Elrashidi - Department of Electrical Engineering, College of Engineering, University of Business and Technology, Jeddah 21448, Saudi Arabia\\ Engineering Mathematics Department, Faculty of Engineering, Alexandria University, Alexandria, Egypt

How to Cite:
G. Ranjith Kumar, K. Ramesh, Fahad Sameer Alshammari, Kottakkaran Sooppy Nisar, Abdel-Haleem Abdel-Aty, Ali Elrashidi, Eco-epidemiological Model with Infected Prey: Dynamic Behaviour of a Fractional Order Model Including Prey Refuge and Type II Functional Response, Progress in Fractional Differentiation and Applications, Vol. 10, No. 2, pp: 323-333, 2024, Doi: https://dx.doi.org/10.18576/pfda/100212

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