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Hadamard Inequality for (k − r) Riemann-Liouville Fractional Integral Operator via Convexity, Vol. 08, No. 2 (Apr. 2022), PP:205-215
doi:10.18576/pfda/080201
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Authors: |
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Ankita Chandola - Amity Institute of Applied Sciences, Amity University, Noida, Uttar Pradesh, India
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Rupakshi Mishra Pandey - Amity Institute of Applied Sciences, Amity University, Noida, Uttar Pradesh, India
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Ritu Agarwal - Malaviya National Institute of Technology, Jaipur, India
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Ravi P. Agarwal - Department of Mathematics, Texas A&M University - Kingsville 700 University Blvd. Kingsville, TX 78363-8202, USA
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How to Cite:
Ankita Chandola, Rupakshi Mishra Pandey, Ritu Agarwal, Ravi P. Agarwal, Hadamard Inequality for (k − r) Riemann-Liouville Fractional Integral Operator via Convexity, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 205-215, 2022, Doi: https://dx.doi.org/10.18576/pfda/080201
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Analysis and Modelling of HIV/AIDS Model with Fractional Order Parameter Estimation, Vol. 08, No. 2 (Apr. 2022), PP:217-230
doi:10.18576/pfda/080202
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Authors: |
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Muhammad Farman - Department of Mathematics and statistics, University of Lahore, Lahore-54590, Pakistan
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Ali Raza - Department of Mathematics and statistics, University of Lahore, Lahore-54590, Pakistan
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Ali Akgul - Art and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt, Turkey
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Muhammad Umer Saleem - Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
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Aqeel Ahmad - Department of Mathematics and statistics, University of Lahore, Lahore-54590, Pakistan
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Muhammad Sajid Iqbal - Department of Mathematics and statistics, University of Lahore, Lahore-54590, Pakistan
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How to Cite:
Muhammad Farman, Ali Raza, Ali Akgul, Muhammad Umer Saleem, Aqeel Ahmad, Muhammad Sajid Iqbal, Analysis and Modelling of HIV/AIDS Model with Fractional Order Parameter Estimation, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 217-230, 2022, Doi: https://dx.doi.org/10.18576/pfda/080202
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Newly Proposed Solutions Using Caputo, Caputo– Fabrizio and Atangana–Baleanu Fractional Derivatives: A Comparison, Vol. 08, No. 2 (Apr. 2022), PP:231-241
doi:10.18576/pfda/080203
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Authors: |
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Anas A. M. Arafa - Department of Mathematics, College of Sciences and Arts, Methnab, Qassim University, P.O. Box 931, Buridah, 51931, Methnab, Kingdom of Saudi Arabia\\ Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt
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How to Cite:
Anas A. M. Arafa, Newly Proposed Solutions Using Caputo, Caputo– Fabrizio and Atangana–Baleanu Fractional Derivatives: A Comparison, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 231-241, 2022, Doi: https://dx.doi.org/10.18576/pfda/080203
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Existence and Uniqueness of Solutions for Mixed Immunotherapy and Chemotherapy Cancer Treatment Fractional Model with Caputo-Fabrizio Derivative, Vol. 08, No. 2 (Apr. 2022), PP:243-251
doi:10.18576/pfda/080204
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Authors: |
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Virender Singh Panwar - Department of Mathematics and Actuarial Science, B.S.Abdur Rahman Crescent Institute of Science and Technology, India-600048
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Pattani Samsudeen Sheik Uduman - Department of Mathematics and Actuarial Science, B.S.Abdur Rahman Crescent Institute of Science and Technology, India-600048
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How to Cite:
Virender Singh Panwar, Pattani Samsudeen Sheik Uduman, Existence and Uniqueness of Solutions for Mixed Immunotherapy and Chemotherapy Cancer Treatment Fractional Model with Caputo-Fabrizio Derivative, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 243-251, 2022, Doi: https://dx.doi.org/10.18576/pfda/080204
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Mild Solutions of Time Fractional Navier-Stokes Equations Driven by Finite Delayed External Forces, Vol. 08, No. 2 (Apr. 2022), PP:253-265
doi:10.18576/pfda/080205
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Authors: |
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Md Mansur Alam - Department of Mathematics, IIT Madras, Chennai- 600 036, Tamilnadu, India
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Shruti Dubey - Department of Mathematics, IIT Madras, Chennai- 600 036, Tamilnadu, India
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How to Cite:
Md Mansur Alam, Shruti Dubey, Mild Solutions of Time Fractional Navier-Stokes Equations Driven by Finite Delayed External Forces, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 253-265, 2022, Doi: https://dx.doi.org/10.18576/pfda/080205
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A Fractional-Order Model of Dengue Fever with Awareness Effect : Numerical Solutions and Asymptotic Stability Analysis, Vol. 08, No. 2 (Apr. 2022), PP:267-274
doi:10.18576/pfda/080206
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Authors: |
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Ahmed M. A. El-Sayed - Department of Mathematics, Faculty of Science, Alexandria university, Alexandria, Egypt
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Anas A. M. Arafa - Department of Mathematics, College of Sciences and Arts, Methnab, Qassim University, P.O. Box 931, Buridah, 51931, Methnab, Kingdom of Saudi Arabia\\ Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt
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Ibrahem M. Hanafy - Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt
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Mohammed I. Gouda - Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt
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How to Cite:
Ahmed M. A. El-Sayed, Anas A. M. Arafa, Ibrahem M. Hanafy, Mohammed I. Gouda, A Fractional-Order Model of Dengue Fever with Awareness Effect : Numerical Solutions and Asymptotic Stability Analysis, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 267-274, 2022, Doi: https://dx.doi.org/10.18576/pfda/080206
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A Fractional Calculus Approach to Study Newton’s Law of Cooling, Vol. 08, No. 2 (Apr. 2022), PP:275-287
doi:10.18576/pfda/080207
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Authors: |
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Nikita Bhangale - Department of Mathematical Sciences, P. D. Patel Institute of Applied Sciences, Charotar University of Science and Technology (CHARUSAT), Changa, Anand-388421, Gujarat, India
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Krunal B. Kachhia - Department of Mathematical Sciences, P. D. Patel Institute of Applied Sciences, Charotar University of Science and Technology (CHARUSAT), Changa, Anand-388421, Gujarat, India
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How to Cite:
Nikita Bhangale, Krunal B. Kachhia, A Fractional Calculus Approach to Study Newton’s Law of Cooling, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 275-287, 2022, Doi: https://dx.doi.org/10.18576/pfda/080207
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Numerical Investigation on the Solution of a Space-Fractional via Preconditioned SOR Iterative Method, Vol. 08, No. 2 (Apr. 2022), PP:289-295
doi:10.18576/pfda/080208
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Authors: |
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Andang Sunarto - Department Tadris Matematika, IAIN Bengkulu, Indonesia
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Praveen Agarwal - Department Mathematics, Anand International College of Engineering, Rajasthan 303012, India
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Jumat Sulaiman - Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Malaysia
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Jackel Chew Vui Lung - Faculty of Computing and Informatics, Universiti Malaysia Sabah Labuan International Campus, Malaysia
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How to Cite:
Andang Sunarto, Praveen Agarwal, Jumat Sulaiman, Jackel Chew Vui Lung, Numerical Investigation on the Solution of a Space-Fractional via Preconditioned SOR Iterative Method, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 289-295, 2022, Doi: https://dx.doi.org/10.18576/pfda/080208
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Fractional Frobenius Series Solutions of Confluent α-Hypergeometric Differential Equation, Vol. 08, No. 2 (Apr. 2022), PP:297-304
doi:10.18576/pfda/080209
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Authors: |
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Ma’mon Abu Hammad - Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, Jordan
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Iqbal H. Jebril - Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, Jordan
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Iqbal M. Batiha - Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, UAE
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Amer Mansour Dababneh - Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, Jordan
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How to Cite:
Ma’mon Abu Hammad, Iqbal H. Jebril, Iqbal M. Batiha, Amer Mansour Dababneh, Fractional Frobenius Series Solutions of Confluent α-Hypergeometric Differential Equation, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 297-304, 2022, Doi: https://dx.doi.org/10.18576/pfda/080209
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Numerical Treatment of Special Types of Odd-Order Boundary Value Problems Using Nonsymmetric Cases of Jacobi Polynomials, Vol. 08, No. 2 (Apr. 2022), PP:305-319
doi:10.18576/pfda/080210
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Authors: |
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Waleed Mohamed Abd-Elhameed - Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt\\ Department of Mathematics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia
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Eid Hassan Doha - Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
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Muhammad Mahmoud Alsuyuti - Department of Basic Science, Egyptian Academy for Engineering and Advanced Technology Affiliated to Ministry of Military Production, Cairo, Egypt
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How to Cite:
Waleed Mohamed Abd-Elhameed, Eid Hassan Doha, Muhammad Mahmoud Alsuyuti, Numerical Treatment of Special Types of Odd-Order Boundary Value Problems Using Nonsymmetric Cases of Jacobi Polynomials, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 305-319, 2022, Doi: https://dx.doi.org/10.18576/pfda/080210
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Conformable derivative: A derivative associated to the Riemann-Stieltjes integral, Vol. 08, No. 2 (Apr. 2022), PP:321-348
doi:10.18576/pfda/080211
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Authors: |
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Abdon Atangana - Institute for Groundwater Studies, Faculty of Natural and Agricultural Science, University of Free State, 9300, Bloemfontein, South Africa\\ Department of Medical Research, China, Medical University Hospital, China, Medical University, Taichung, Taiwan
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Ali Akgu ̈l - Siirt University, Art and Science Faculty, Department of Mathematics, TR-56100 Siirt, Turkey
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Muhammad Altaf Khan - Institute for Groundwater Studies, Faculty of Natural and Agricultural Science, University of Free State, 9300, Bloemfontein, South Africa
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Rabha Waell Ibrahim - IEEE: 94086547, Kuala Lumpur, 59200, Malaysia
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How to Cite:
Abdon Atangana, Ali Akgu ̈l, Muhammad Altaf Khan, Rabha Waell Ibrahim, Conformable derivative: A derivative associated to the Riemann-Stieltjes integral, Progress in Fractional Differentiation and Applications, Vol. 08, No. 2, pp: 321-348, 2022, Doi: https://dx.doi.org/10.18576/pfda/080211
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