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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 04 > Jan. 2018

 

 

Is It Possible to Construct a Fractional Derivative Such That the Index Law Holds?, Vol. 04, No. 1 (Jan. 2018), PP:1-3

doi:10.18576/pfda/040101

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Authors:
Daniel Cao Labora - Department of Statistics, Mathematical Analysis and Optimization, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Kingdom of Spain
Juan J. Nieto - Department of Statistics, Mathematical Analysis and Optimization, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Kingdom of Spain
Rosana Rodrıguez-Lopez - Department of Statistics, Mathematical Analysis and Optimization, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Kingdom of Spain

How to Cite:
Daniel Cao Labora, Juan J. Nieto, Rosana Rodrıguez-Lopez, Is It Possible to Construct a Fractional Derivative Such That the Index Law Holds?, Progress in Fractional Differentiation and Applications, Vol. 04, No. 1, pp: 1-3, 2018, Doi: https://dx.doi.org/10.18576/pfda/040101

 

Deformations in Elasto-Plastic Media with Memory: the Inverse Problem, Vol. 04, No. 1 (Jan. 2018), PP:5-14

doi:10.18576/pfda/040102

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Authors:
Michele Caputo - College of Geoscience, Texas A&M University, College Station TX, USA
Mauro Fabrizio - Dipartimento di Matematica, Universita` di Bologna, Italy

How to Cite:
Michele Caputo, Mauro Fabrizio, Deformations in Elasto-Plastic Media with Memory: the Inverse Problem, Progress in Fractional Differentiation and Applications, Vol. 04, No. 1, pp: 5-14, 2018, Doi: https://dx.doi.org/10.18576/pfda/040102

 

An Inverse Problem for the Caputo Fractional Derivative by Means of the Wavelet Transform, Vol. 04, No. 1 (Jan. 2018), PP:15-26

doi:10.18576/pfda/040103

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Authors:
Marcela A. Fabio - Centro de Matema´tica Aplicada, Universidad de San Mart´ın, M. Irigoyen 3100 (1650), Buenos Aires - Argentina
Marıa I. Troparevsky - Facultad de Ingenier´ıa, Universidad de Buenos Aires, Av. Paseo Colo´n 850, C1063ACV, Buenos Aires - Argentina

How to Cite:
Marcela A. Fabio, Marıa I. Troparevsky, An Inverse Problem for the Caputo Fractional Derivative by Means of the Wavelet Transform, Progress in Fractional Differentiation and Applications, Vol. 04, No. 1, pp: 15-26, 2018, Doi: https://dx.doi.org/10.18576/pfda/040103

 

On Applications of the Fractional Calculus for Some Singular Differential Equations, Vol. 04, No. 1 (Jan. 2018), PP:27-33

doi:10.18576/pfda/040104

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Authors:
Okkes Ozturk - Department of Mathematics, Faculty of Arts and Sciences, Bitlis Eren University, TR-13000 Bitlis, Turkey
Resat Yilmazer - Department of Mathematics, Faculty of Science, Firat University, TR-23119 Elazig, Turkey

How to Cite:
Okkes Ozturk, Resat Yilmazer, On Applications of the Fractional Calculus for Some Singular Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 04, No. 1, pp: 27-33, 2018, Doi: https://dx.doi.org/10.18576/pfda/040104

 

Iterative Methods and their Applications to Banach Space Valued Functions in Abstract Fractional Calculus, Vol. 04, No. 1 (Jan. 2018), PP:35-47

doi:10.18576/pfda/040105

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

How to Cite:
George A. Anastassiou, Ioannis K. Argyros, Iterative Methods and their Applications to Banach Space Valued Functions in Abstract Fractional Calculus, Progress in Fractional Differentiation and Applications, Vol. 04, No. 1, pp: 35-47, 2018, Doi: https://dx.doi.org/10.18576/pfda/040105

 

Natural Transform Method to Solve Nonhomogeneous Fractional Ordinary Differential Equations, Vol. 04, No. 1 (Jan. 2018), PP:49-57

doi:10.18576/pfda/040106

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Authors:
Shikaa Samuel - Department of Mathematics, Amity University Rajasthan, Jaipur-302030, India
Vinod Gill - Department of Mathematics, Amity University Rajasthan, Jaipur-302030, India

How to Cite:
Shikaa Samuel, Vinod Gill, Natural Transform Method to Solve Nonhomogeneous Fractional Ordinary Differential Equations, Progress in Fractional Differentiation and Applications, Vol. 04, No. 1, pp: 49-57, 2018, Doi: https://dx.doi.org/10.18576/pfda/040106

 

Generalized Differential Transform Method for Solving Liquid-Film Mass Transfer Equation of Fractional Order, Vol. 04, No. 1 (Jan. 2018), PP:59-64

doi:10.18576/pfda/040107

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Authors:
Hashem Saberi Najafi - Department of Applied Mathematics Islamic Azad University Lahijan Branch, P.O. Box 1616, Lahijan, Iran
Elyas Arsanjani Toroqi - Department of Applied Mathematics Islamic Azad University Lahijan Branch, P.O. Box 1616, Lahijan, Iran

How to Cite:
Hashem Saberi Najafi, Elyas Arsanjani Toroqi, Generalized Differential Transform Method for Solving Liquid-Film Mass Transfer Equation of Fractional Order, Progress in Fractional Differentiation and Applications, Vol. 04, No. 1, pp: 59-64, 2018, Doi: https://dx.doi.org/10.18576/pfda/040107

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