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Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 01 > Apr. 2015

 

 

A new Definition of Fractional Derivative without Singular Kernel, Vol. 01, No. 2 (Apr. 2015), PP:73-85

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Authors:
Michele Caputo - College of Geoscience, Texas A& M University, College Station TX, USA
Mauro Fabrizio - Department of Mathematics, University of Bologna, Bologna, Italy

How to Cite:
Michele Caputo, Mauro Fabrizio, A new Definition of Fractional Derivative without Singular Kernel, Progress in Fractional Differentiation and Applications, Vol. 01, No. 2, pp: 73-85, 2015, Doi: https://dx.doi.org/10.18576//

 

Properties of a New Fractional Derivative without Singular Kernel, Vol. 01, No. 2 (Apr. 2015), PP:87-92

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Authors:
Jorge Losada - Departamento de An´alise Matem´atica, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
Juan J. Nieto - Departamento de An´alise Matem´atica, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain\\ Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia

How to Cite:
Jorge Losada, Juan J. Nieto, Properties of a New Fractional Derivative without Singular Kernel, Progress in Fractional Differentiation and Applications, Vol. 01, No. 2, pp: 87-92, 2015, Doi: https://dx.doi.org/10.18576//

 

Fractional Differential Inclusions in the Almgren Sense with Riemann-Liouville Derivative, Vol. 01, No. 2 (Apr. 2015), PP:93-102

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Authors:
Mehadjia Arbaoui - Laboratory of Mathematics, Sidi-Bel-Abb`es University, PoBox 89, 22000 Sidi-Bel-Abb`es, Algeria
John R. Graef - Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403-2504, USA
Johnny Henderson - Department of Mathematics, Baylor University, Waco, Texas 76798-7328, USA
Abdelghani Ouahab - Laboratory of Mathematics, Sidi-Bel-Abb`es University, PoBox 89, 22000 Sidi-Bel-Abb`es, Algeria

How to Cite:
Mehadjia Arbaoui, John R. Graef, Johnny Henderson, Abdelghani Ouahab, Fractional Differential Inclusions in the Almgren Sense with Riemann-Liouville Derivative, Progress in Fractional Differentiation and Applications, Vol. 01, No. 2, pp: 93-102, 2015, Doi: https://dx.doi.org/10.18576//

 

On Some Hermite-Hadamard Type Inequalities for Convex Functions via Hadamard Fractional Integrals, Vol. 01, No. 2 (Apr. 2015), PP:103-110

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Authors:
Ying Tian - Department of Mathematics, College of Science, Guizhou University, Guiyang, Guizhou 550025, P.R. China
JinRong Wang - Department of Mathematics, College of Science, Guizhou University, Guiyang, Guizhou 550025, P.R. China

How to Cite:
Ying Tian, JinRong Wang, On Some Hermite-Hadamard Type Inequalities for Convex Functions via Hadamard Fractional Integrals, Progress in Fractional Differentiation and Applications, Vol. 01, No. 2, pp: 103-110, 2015, Doi: https://dx.doi.org/10.18576//

 

Fractional Modeling of Typical Stages in HIV Epidemics with Drug-Resistance, Vol. 01, No. 2 (Apr. 2015), PP:111-122

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Authors:
Carla M. A. Pinto - School of Engineering, Polytechnic of Porto, Center for Mathematics of the University of Porto, Rua Dr Ant´onio Bernardino de Almeida, 431, 4200-072 Porto, Portugal
R. M. Carvalho - Faculty of Sciences, University of Porto, Rua do Campo Alegre s/n, 4440-452 Porto, Portugal

How to Cite:
Carla M. A. Pinto, R. M. Carvalho, Fractional Modeling of Typical Stages in HIV Epidemics with Drug-Resistance, Progress in Fractional Differentiation and Applications, Vol. 01, No. 2, pp: 111-122, 2015, Doi: https://dx.doi.org/10.18576//

 

Large Stability Regions Method for the Two-dimensional Fractional Diffusion Equation, Vol. 01, No. 2 (Apr. 2015), PP:123-131

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Authors:
Nasser Hassan Sweilam - Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Tebra Faraj Almajbri - Department of Mathematics, Faculty of Science, Benghazi University, Libya

How to Cite:
Nasser Hassan Sweilam, Tebra Faraj Almajbri, Large Stability Regions Method for the Two-dimensional Fractional Diffusion Equation, Progress in Fractional Differentiation and Applications, Vol. 01, No. 2, pp: 123-131, 2015, Doi: https://dx.doi.org/10.18576//

 

Two Fractal Versions of Newton’s Law of Cooling, Vol. 01, No. 2 (Apr. 2015), PP:133-143

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Authors:
Francisco A. God´ınez - Instituto de Ingenier´ıa, Universidad Nacional Aut´onoma de M´exico, M´exico D.F. 04510, M´exico
Margarita Navarrete - Instituto de Ingenier´ıa, Universidad Nacional Aut´onoma de M´exico, M´exico D.F. 04510, M´exico
Oscar A. Ch´avez - Facultad de Ingenier´ıa Mec´anica, Universidad Michoacana de San Nicol´as de Hidalgo, Morelia Michoac´an 58030, M´exico
Alexis Merlin - Facultad de Ingenier´ıa, Universidad Nacional Aut´onoma de M´exico, M´exico D.F. 04510, M´exico
Jos´e R. Vald´es - Facultad de Ingenier´ıa, Universidad Nacional Aut´onoma de M´exico, M´exico D.F. 04510, M´exico\\ Facultad de Filosof´ıa y Letras, Universidad Nacional Aut´onoma de M´exico, M´exico D.F. 04510, M´exico

How to Cite:
Francisco A. God´ınez, Margarita Navarrete, Oscar A. Ch´avez, Alexis Merlin, Jos´e R. Vald´es, Two Fractal Versions of Newton’s Law of Cooling, Progress in Fractional Differentiation and Applications, Vol. 01, No. 2, pp: 133-143, 2015, Doi: https://dx.doi.org/10.18576//

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