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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Vol. 5 > Oct. 2019

 

 

On the Mathematical Formulation of Fractional Derivatives, Vol. 5, No. 4 (Oct. 2019), PP:261-267

doi:10.18576/pfda/050402

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Authors:
Konstantinos A. Lazopoulos - 14 Theatrou Str., Rafina, 19009 Greece
Anastasios K. Lazopoulos - Hellenic Army Academy, Department of Military Sciences, Sector of Mathematics and Engineering Applications, Applied Mechanics Laboratory, Vari, 16673, Greece

 

Global Solution to a Nonlinear Fractional Differential Equation for the Caputo–Fabrizio Derivative, Vol. 5, No. 4 (Oct. 2019), PP:269-281

doi:10.18576/pfda/050403

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Authors:
Sabrina D. Roscani - CONICET - Depto. Matema ́tica, FCE, Univ. Austral, Paraguay 1950, S2000FZF Rosario, Argentina\\ Depto. Matema ́tica, ECEN, FCEIA, Univ. Nac. de Rosario, Pellegrini 250, S2000BTP Rosario, Argentina
Lucas Venturato - Depto. Matema ́tica, ECEN, FCEIA, Univ. Nac. de Rosario, Pellegrini 250, S2000BTP Rosario, Argentina
Domingo A. Tarzia - CONICET - Depto. Matema ́tica, FCE, Univ. Austral, Paraguay 1950, S2000FZF Rosario, Argentina

 

Analytic solution of space time fractional advection dispersion equation with retardation for contaminant transport in porous media, Vol. 5, No. 4 (Oct. 2019), PP:283-295

doi:10.18576/pfda/050404

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Authors:
Ritu Agarwal - Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India
Mahaveer Prasad Yadav - Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India
Ravi P. Agarwal - Department of Mathematics, Texas A&M University - Kingsville, 700 University Blvd. Kingsville, TX 78363-8202,USA
Dumitru Baleanu - Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey\\ Institute of Space Science, R 76900, Magurele-Bucharest, Romania

 

On Dynamics of a Fractional-Order SIRS Epidemic Model with Standard Incidence Rate and its Discretization, Vol. 5, No. 4 (Oct. 2019), PP:297-306

doi:10.18576/pfda/050405

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Authors:
Ahmed M. Yousef - Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Saad Z. Rida - Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Yassein Gh. Gouda - Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
Asmaa S. Zaki - Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt

 

Finite Difference Approximation Method for Two- Dimensional Space-Time Fractional Diffusion Equation Using Nonsingular Fractional Derivative, Vol. 5, No. 4 (Oct. 2019), PP:307-317

doi:10.18576/pfda/050406

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Authors:
Norodin A. Rangaig - Department of Physics, Mindanao State University-Main Campus, 9700 Marawi City, Philippines
Alvanh Alem G. Pido - Department of Physics, Mindanao State University-Main Campus, 9700 Marawi City, Philippines

 

New Approximate Solutions to Fractional Smoking Model Using the Generalized Mittag-Leffler Function Method, Vol. 5, No. 4 (Oct. 2019), PP:319-326

doi:10.18576/pfda/050407

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Authors:
Hegagi Mohamed Ali - Department of Mathematics, Faculty of Sciences, Aswan University, Aswan 81528, Egypt

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