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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 04 > Apr. 2018

 

 

Boundary Value Problems for Fractional Differential Equations with Integral and Anti-Periodic Conditions in a Banach Space, Vol. 04, No. 2 (Apr. 2018), PP:65-70

doi:10.18576/pfda/040201

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Authors:
Wafaa Benhamida - Laboratoire des Math´ematiques Appliqu´es et Pures, Universit´e de Mostaganem, B.P. 227, 27000, Mostaganem, Algeria
John R. Graef - Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA
Samira Hamani - Laboratoire des Math´ematiques Appliqu´es et Pures, Universit´e de Mostaganem, B.P. 227, 27000, Mostaganem, Algeria

How to Cite:
Wafaa Benhamida, John R. Graef, Samira Hamani, Boundary Value Problems for Fractional Differential Equations with Integral and Anti-Periodic Conditions in a Banach Space, Progress in Fractional Differentiation and Applications, Vol. 04, No. 2, pp: 65-70, 2018, Doi: https://dx.doi.org/10.18576/pfda/040201

 

Algorithmic Convergence on Banach Space Valued Functions in Abstract g-Fractional Calculus, Vol. 04, No. 2 (Apr. 2018), PP:71-82

doi:10.18576/pfda/040202

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Authors:
George A. Anastassiou - Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA
Ioannis K. Argyros - Department of Mathematics Sciences, Cameron University, Lawton, OK 73505, USA

How to Cite:
George A. Anastassiou, Ioannis K. Argyros, Algorithmic Convergence on Banach Space Valued Functions in Abstract g-Fractional Calculus, Progress in Fractional Differentiation and Applications, Vol. 04, No. 2, pp: 71-82, 2018, Doi: https://dx.doi.org/10.18576/pfda/040202

 

Properties of Mixed Hyperbolic B–Potential, Vol. 04, No. 2 (Apr. 2018), PP:83-98

doi:10.18576/pfda/040203

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Authors:
Elina L. Shishkina - Department of Mathematical and Applied Analysis, Faculty of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Voronezh, Russia

How to Cite:
Elina L. Shishkina, Properties of Mixed Hyperbolic B–Potential, Progress in Fractional Differentiation and Applications, Vol. 04, No. 2, pp: 83-98, 2018, Doi: https://dx.doi.org/10.18576/pfda/040203

 

Riemann-Liouville Fractional Derivative and Application to Model Chaotic Differential Equations, Vol. 04, No. 2 (Apr. 2018), PP:99-110

doi:10.18576/pfda/040204

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Authors:
Kolade M. Owolabi - Department of Mathematical Sciences, Federal University of Technology, PMB 704, Akure, Ondo State, Nigeria\\ Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa

How to Cite:
Kolade M. Owolabi, Riemann-Liouville Fractional Derivative and Application to Model Chaotic Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 04, No. 2, pp: 99-110, 2018, Doi: https://dx.doi.org/10.18576/pfda/040204

 

On the l2 Stability of Crank-Nicolson Difference Scheme for Time Fractional Heat Equations, Vol. 04, No. 2 (Apr. 2018), PP:111-122

doi:10.18576/pfda/040205

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Authors:
Serife R. Bayramoglu Erguner - Department of Mathematics, Fatih University, TR-34500 Istanbul, Turkey
Ibrahim Karatay - Department of Mathematics, Fatih University, TR-34500 Istanbul, Turkey

How to Cite:
Serife R. Bayramoglu Erguner, Ibrahim Karatay, On the l2 Stability of Crank-Nicolson Difference Scheme for Time Fractional Heat Equations, Progress in Fractional Differentiation and Applications, Vol. 04, No. 2, pp: 111-122, 2018, Doi: https://dx.doi.org/10.18576/pfda/040205

 

Analytical Solution of Time-Fractional Navier-Stokes Equation by Natural Homotopy Perturbation Method, Vol. 04, No. 2 (Apr. 2018), PP:123-131

doi:10.18576/pfda/040206

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

How to Cite:
Shehu Maitama, Analytical Solution of Time-Fractional Navier-Stokes Equation by Natural Homotopy Perturbation Method, Progress in Fractional Differentiation and Applications, Vol. 04, No. 2, pp: 123-131, 2018, Doi: https://dx.doi.org/10.18576/pfda/040206

 

On the Generalized (k,r)-Fractional Derivative, Vol. 04, No. 2 (Apr. 2018), PP:133-145

doi:10.18576/pfda/040207

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Authors:
Daniela S. Oliveira - Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing - University of Campinas, 13083- 859, Campinas, SP, Brazil
Edmundo Capelas de Oliveira - Department of Applied Mathematics, Institute of Mathematics, Statistics and Scientific Computing - University of Campinas, 13083- 859, Campinas, SP, Brazil

How to Cite:
Daniela S. Oliveira, Edmundo Capelas de Oliveira, On the Generalized (k,r)-Fractional Derivative, Progress in Fractional Differentiation and Applications, Vol. 04, No. 2, pp: 133-145, 2018, Doi: https://dx.doi.org/10.18576/pfda/040207

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