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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 04 > Jul. 2018

 

 

Direct and Inverse Problems for a Samarskii-Ionkin Type Problem for a Two Dimensional Fractional Parabolic Equation, Vol. 04, No. 3 (Jul. 2018), PP:147-160

doi:10.18576/pfda/040301

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Authors:
Sebti Kerbal - Department of Mathematics and Statistics,Sultan Qaboos University, PO Box 36, Al Khodh, PC 123, Muscat, Oman
Bakhtiyar Jalilovich Kadirkulov - Department of Mathematics and Information technologies, Tashkent State Institute of Oriental Studies, Shahrisabz str., 25, Tashkent 100060, Uzbekistan
Mokhtar Kirane - NAAMResearch group, Department ofMathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia\\ University La Rochelle, Faculty of Science and Technology, LaSIE, Ave M Crepeau, F-17042 La Rochelle, France

How to Cite:
Sebti Kerbal, Bakhtiyar Jalilovich Kadirkulov, Mokhtar Kirane, Direct and Inverse Problems for a Samarskii-Ionkin Type Problem for a Two Dimensional Fractional Parabolic Equation, Progress in Fractional Differentiation and Applications, Vol. 04, No. 3, pp: 147-160, 2018, Doi: https://dx.doi.org/10.18576/pfda/040301

 

Canavati Fractional Approximation by Max-Product Operators, Vol. 04, No. 3 (Jul. 2018), PP:161-177

doi:10.18576/pfda/040302

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

How to Cite:
George A. Anastassiou, Canavati Fractional Approximation by Max-Product Operators, Progress in Fractional Differentiation and Applications, Vol. 04, No. 3, pp: 161-177, 2018, Doi: https://dx.doi.org/10.18576/pfda/040302

 

A New Approach for Solving Fractional Optimal Control Problems Using Shifted Ultraspherical Polynomials, Vol. 04, No. 3 (Jul. 2018), PP:179-195

doi:10.18576/pfda/040303

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Authors:
Hoda F. Ahmed - Department of Mathematics, Faculty of Science, Minia University, Minia, Egypt
Marina B. Melad - Department of Mathematics, Faculty of Science, Assuit University Branch of New- Vally, Assuit, Egypt

How to Cite:
Hoda F. Ahmed, Marina B. Melad, A New Approach for Solving Fractional Optimal Control Problems Using Shifted Ultraspherical Polynomials, Progress in Fractional Differentiation and Applications, Vol. 04, No. 3, pp: 179-195, 2018, Doi: https://dx.doi.org/10.18576/pfda/040303

 

The Approximate Solution of Nonlinear Fractional Optimal Control Problems by Measure Theory Approach, Vol. 04, No. 3 (Jul. 2018), PP:197-209

doi:10.18576/pfda/040304

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Authors:
Ehsan Ziaei - Department of Applied Mathematics, Faculty of Mathematical Sciences, International Branch of Ferdowsi University of Mashhad, Mashhad, Iran
Mohammad Hadi Farahi - Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran\\ The Center of Excellence on Modelling and Control Systems (CEMCS), Mashhad, Iran
Elahe Safaie - Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

How to Cite:
Ehsan Ziaei, Mohammad Hadi Farahi, Elahe Safaie, The Approximate Solution of Nonlinear Fractional Optimal Control Problems by Measure Theory Approach, Progress in Fractional Differentiation and Applications, Vol. 04, No. 3, pp: 197-209, 2018, Doi: https://dx.doi.org/10.18576/pfda/040304

 

Existence of Smooth Solutions of Multi-Term Caputo-Type Fractional Differential Equations, Vol. 04, No. 3 (Jul. 2018), PP:211-218

doi:10.18576/pfda/040305

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Authors:
Chung-Sik Sin - Faculty of Mathematics, Kim Il Sung University, Ryomyong Street, Taesong District, Pyongyang, D.P.R. Korea\\ School of Economics and Management, University of Science and Technology Beijing, 30 Xueyuan Road, Haidian District, Beijing, China
Gang-Il Ri - Faculty of Mathematics, Kim Il Sung University, Ryomyong Street, Taesong District, Pyongyang, D.P.R. Korea
Mun-Chol Kim - Faculty of Mathematics, Kim Il Sung University, Ryomyong Street, Taesong District, Pyongyang, D.P.R. Korea

How to Cite:
Chung-Sik Sin, Gang-Il Ri, Mun-Chol Kim, Existence of Smooth Solutions of Multi-Term Caputo-Type Fractional Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 04, No. 3, pp: 211-218, 2018, Doi: https://dx.doi.org/10.18576/pfda/040305

 

Local Fractional Natural Homotopy Perturbation Method for Solving Partial Differential Equations with Local Fractional Derivative, Vol. 04, No. 3 (Jul. 2018), PP:219-228

doi:10.18576/pfda/040306

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Authors:
Shehu Maitama - Department of Mathematics, Faculty of Science, Northwest University, Kano, Nigeria

How to Cite:
Shehu Maitama, Local Fractional Natural Homotopy Perturbation Method for Solving Partial Differential Equations with Local Fractional Derivative, Progress in Fractional Differentiation and Applications, Vol. 04, No. 3, pp: 219-228, 2018, Doi: https://dx.doi.org/10.18576/pfda/040306

 

Fractional Calculus of Wright Function with Raizada Polynomial, Vol. 04, No. 3 (Jul. 2018), PP:229-246

doi:10.18576/pfda/040307

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Authors:
Dharmendra Kumar Singh - Department of Mathematics, UIET, CSJM University, Kanpur-208024, (U.P.), India
Priyanka Umaro - Department of Mathematics, UIET, CSJM University, Kanpur-208024, (U.P.), India

How to Cite:
Dharmendra Kumar Singh, Priyanka Umaro, Fractional Calculus of Wright Function with Raizada Polynomial, Progress in Fractional Differentiation and Applications, Vol. 04, No. 3, pp: 229-246, 2018, Doi: https://dx.doi.org/10.18576/pfda/040307

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