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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 07 > Oct. 2021

 

 

Trigonometric Conformable Fractional Quantitative Approximation of Stochastic Processes, Vol. 07, No. 4 (Oct. 2021), PP:217-236

doi:10.18576/pfda/070401

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Authors:
George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

How to Cite:
George A. Anastassiou, Trigonometric Conformable Fractional Quantitative Approximation of Stochastic Processes, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 217-236, 2021, Doi: https://dx.doi.org/10.18576/pfda/070401

 

Approximate Analytical and Numerical Solutions for Time Fractional Generalized Nonlinear Huxley Equation, Vol. 07, No. 4 (Oct. 2021), PP:237-248

doi:10.18576/pfda/070402

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Authors:
Adel R. Hadhoud - Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Kom, Menoufia, Egypt

How to Cite:
Adel R. Hadhoud, Approximate Analytical and Numerical Solutions for Time Fractional Generalized Nonlinear Huxley Equation, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 237-248, 2021, Doi: https://dx.doi.org/10.18576/pfda/070402

 

Fractional Integral Inequalities Using Marichev-Saigo- Maeda Fractional Integral Operator, Vol. 07, No. 4 (Oct. 2021), PP:249-255

doi:10.18576/pfda/070403

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Authors:
Asha B. Nale - Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, India
Satish K. Panchal - Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, India
Vaijanath L. Chinchane - Department of Mathematics, Deogiri Institute of Engineering and Management Studies, Aurangabad-431005, India
Hilal M. Y. Al-Bayatti - Department of Computer Science, College of Arts and Science, Applied Science University, P.O. Box 5055, Kingdom of Bahrain

How to Cite:
Asha B. Nale, Satish K. Panchal, Vaijanath L. Chinchane, Hilal M. Y. Al-Bayatti, Fractional Integral Inequalities Using Marichev-Saigo- Maeda Fractional Integral Operator, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 249-255, 2021, Doi: https://dx.doi.org/10.18576/pfda/070403

 

Ritz Method and Genocchi Polynomials for Solution of Fractional Partial Differential Equations, Vol. 07, No. 4 (Oct. 2021), PP:257-262

doi:10.18576/pfda/070404

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Authors:
Mohammad Arab Firoozjaee - Department of Mathematics, University of Science and Technology of Mazandaran, P.O.Box 48518-78195, Behshahr, Iran

How to Cite:
Mohammad Arab Firoozjaee, Ritz Method and Genocchi Polynomials for Solution of Fractional Partial Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 257-262, 2021, Doi: https://dx.doi.org/10.18576/pfda/070404

 

On the Entropic Order Quantity Model Based on the Conformable Calculus, Vol. 07, No. 4 (Oct. 2021), PP:263-273

doi:10.18576/pfda/070405

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Authors:
Samir B. Hadid - Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman, UAE
Rabha W. Ibrahim - 1IEEE: 94086547, Kuala Lumpur, 59200, Malaysia
Shaher Momani - Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE\\ Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan

How to Cite:
Samir B. Hadid, Rabha W. Ibrahim, Shaher Momani, On the Entropic Order Quantity Model Based on the Conformable Calculus, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 263-273, 2021, Doi: https://dx.doi.org/10.18576/pfda/070405

 

An Uncertainty Approach for Impulsive Fractional Differential Equations: Application in Fluid Mechanics, Vol. 07, No. 4 (Oct. 2021), PP:275-280

doi:10.18576/pfda/070406

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Authors:
Soheil Salahshour - Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
Morteza Pakdaman - Atmospheric Science and Meteorological Research Center (ASMERC), Climatological Research Institute (CRI), Mashhad, Iran
Ali Ahmadian - Institute of Industry Revolution 4.0, National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia

How to Cite:
Soheil Salahshour, Morteza Pakdaman, Ali Ahmadian, An Uncertainty Approach for Impulsive Fractional Differential Equations: Application in Fluid Mechanics, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 275-280, 2021, Doi: https://dx.doi.org/10.18576/pfda/070406

 

Controllability of Hilfer Fractional Non-Autonomous Evolution Equations with Nonlocal Initial Conditions, Vol. 07, No. 4 (Oct. 2021), PP:281-291

doi:10.18576/pfda/070407

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Authors:
Mohamed I. Abbas - Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria 21511, Egypt

How to Cite:
Mohamed I. Abbas, Controllability of Hilfer Fractional Non-Autonomous Evolution Equations with Nonlocal Initial Conditions, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 281-291, 2021, Doi: https://dx.doi.org/10.18576/pfda/070407

 

Trigonometric Commutative Caputo Fractional Korovkin Theory for Stochastic Processes, Vol. 07, No. 4 (Oct. 2021), PP:293-305

doi:10.18576/pfda/070408

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Authors:
George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

How to Cite:
George A. Anastassiou, Trigonometric Commutative Caputo Fractional Korovkin Theory for Stochastic Processes, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 293-305, 2021, Doi: https://dx.doi.org/10.18576/pfda/070408

 

New inequalities of Hermite-Hadamard type for h-convex functions via generalized fractional integrals, Vol. 07, No. 4 (Oct. 2021), PP:307-316

doi:10.18576/pfda/070409

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Authors:
Muhammad Aamir Ali - Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China
Hu ̈seyin Budak - Department of Mathematics, Faculty of Science and Arts, Du ̈zce University, Du ̈zce, Turkey
Mehmet Zeki Sarikaya - Department of Mathematics, Faculty of Science and Arts, Du ̈zce University, Du ̈zce, Turkey

How to Cite:
Muhammad Aamir Ali, Hu ̈seyin Budak, Mehmet Zeki Sarikaya, New inequalities of Hermite-Hadamard type for h-convex functions via generalized fractional integrals, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 307-316, 2021, Doi: https://dx.doi.org/10.18576/pfda/070409

 

Application of Local and Non-local Kernels: The Optimal Solutions of Water-based Nanoparticles Under Ramped Conditions, Vol. 07, No. 4 (Oct. 2021), PP:317-335

doi:10.18576/pfda/070410

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Authors:
Aziz-Ur-Rehman - Department of Mathematics, University of Management and Technology Lahore, Pakistan
Zaheer Hussain Shah - Department of Physics, University of Management and Technology Lahore, Pakistan
Muhammad Bilal Riaz - Department of Mathematics, University of Management and Technology Lahore, Pakistan\\ Institute for Groundwater Studies (IGS), University of the Free State, South Africa

How to Cite:
Aziz-Ur-Rehman, Zaheer Hussain Shah, Muhammad Bilal Riaz, Application of Local and Non-local Kernels: The Optimal Solutions of Water-based Nanoparticles Under Ramped Conditions, Progress in Fractional Differentiation and Applications, Vol. 07, No. 4, pp: 317-335, 2021, Doi: https://dx.doi.org/10.18576/pfda/070410

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