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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 8 > Apr. 2022

 

 

Hadamard Inequality for (k − r) Riemann-Liouville Fractional Integral Operator via Convexity, Vol. 8, No. 2 (Apr. 2022), PP:205-215

doi:10.18576/pfda/080201

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Authors:
Ankita Chandola - Amity Institute of Applied Sciences, Amity University, Noida, Uttar Pradesh, India
Rupakshi Mishra Pandey - Amity Institute of Applied Sciences, Amity University, Noida, Uttar Pradesh, India
Ritu Agarwal - Malaviya National Institute of Technology, Jaipur, India
Ravi P. Agarwal - Department of Mathematics, Texas A&M University - Kingsville 700 University Blvd. Kingsville, TX 78363-8202, USA

 

Analysis and Modelling of HIV/AIDS Model with Fractional Order Parameter Estimation, Vol. 8, No. 2 (Apr. 2022), PP:217-230

doi:10.18576/pfda/080202

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Authors:
Muhammad Farman - Department of Mathematics and statistics, University of Lahore, Lahore-54590, Pakistan
Ali Raza - Department of Mathematics and statistics, University of Lahore, Lahore-54590, Pakistan
Ali Akgul - Art and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt, Turkey
Muhammad Umer Saleem - Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
Aqeel Ahmad - Department of Mathematics and statistics, University of Lahore, Lahore-54590, Pakistan
Muhammad Sajid Iqbal - Department of Mathematics and statistics, University of Lahore, Lahore-54590, Pakistan

 

Newly Proposed Solutions Using Caputo, Caputo– Fabrizio and Atangana–Baleanu Fractional Derivatives: A Comparison, Vol. 8, No. 2 (Apr. 2022), PP:231-241

doi:10.18576/pfda/080203

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Authors:
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

 

Existence and Uniqueness of Solutions for Mixed Immunotherapy and Chemotherapy Cancer Treatment Fractional Model with Caputo-Fabrizio Derivative, Vol. 8, No. 2 (Apr. 2022), PP:243-251

doi:10.18576/pfda/080204

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Authors:
Virender Singh Panwar - Department of Mathematics and Actuarial Science, B.S.Abdur Rahman Crescent Institute of Science and Technology, India-600048
Pattani Samsudeen Sheik Uduman - Department of Mathematics and Actuarial Science, B.S.Abdur Rahman Crescent Institute of Science and Technology, India-600048

 

Mild Solutions of Time Fractional Navier-Stokes Equations Driven by Finite Delayed External Forces, Vol. 8, No. 2 (Apr. 2022), PP:253-265

doi:10.18576/pfda/080205

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Authors:
Md Mansur Alam - Department of Mathematics, IIT Madras, Chennai- 600 036, Tamilnadu, India
Shruti Dubey - Department of Mathematics, IIT Madras, Chennai- 600 036, Tamilnadu, India

 

A Fractional-Order Model of Dengue Fever with Awareness Effect : Numerical Solutions and Asymptotic Stability Analysis, Vol. 8, No. 2 (Apr. 2022), PP:267-274

doi:10.18576/pfda/080206

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Authors:
Ahmed M. A. El-Sayed - Department of Mathematics, Faculty of Science, Alexandria university, Alexandria, Egypt
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
Ibrahem M. Hanafy - Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt
Mohammed I. Gouda - Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt

 

A Fractional Calculus Approach to Study Newton’s Law of Cooling, Vol. 8, No. 2 (Apr. 2022), PP:275-287

doi:10.18576/pfda/080207

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Authors:
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
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

 

Numerical Investigation on the Solution of a Space-Fractional via Preconditioned SOR Iterative Method, Vol. 8, No. 2 (Apr. 2022), PP:289-295

doi:10.18576/pfda/080208

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Authors:
Andang Sunarto - Department Tadris Matematika, IAIN Bengkulu, Indonesia
Praveen Agarwal - Department Mathematics, Anand International College of Engineering, Rajasthan 303012, India
Jumat Sulaiman - Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Malaysia
Jackel Chew Vui Lung - Faculty of Computing and Informatics, Universiti Malaysia Sabah Labuan International Campus, Malaysia

 

Fractional Frobenius Series Solutions of Confluent α-Hypergeometric Differential Equation, Vol. 8, No. 2 (Apr. 2022), PP:297-304

doi:10.18576/pfda/080209

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Authors:
Ma’mon Abu Hammad - Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, Jordan
Iqbal H. Jebril - Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, Jordan
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
Amer Mansour Dababneh - Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, Jordan

 

Numerical Treatment of Special Types of Odd-Order Boundary Value Problems Using Nonsymmetric Cases of Jacobi Polynomials, Vol. 8, No. 2 (Apr. 2022), PP:305-319

doi:10.18576/pfda/080210

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Authors:
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
Eid Hassan Doha - Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
Muhammad Mahmoud Alsuyuti - Department of Basic Science, Egyptian Academy for Engineering and Advanced Technology Affiliated to Ministry of Military Production, Cairo, Egypt

 

Conformable derivative: A derivative associated to the Riemann-Stieltjes integral, Vol. 8, No. 2 (Apr. 2022), PP:321-348

doi:10.18576/pfda/080211

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Authors:
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
Ali Akgu ̈l - Siirt University, Art and Science Faculty, Department of Mathematics, TR-56100 Siirt, Turkey
Muhammad Altaf Khan - Institute for Groundwater Studies, Faculty of Natural and Agricultural Science, University of Free State, 9300, Bloemfontein, South Africa
Rabha Waell Ibrahim - IEEE: 94086547, Kuala Lumpur, 59200, Malaysia

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