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On the Mathematical Formulation of Fractional Derivatives, Vol. 05, No. 4 (Oct. 2019), PP:261-267
doi:10.18576/pfda/050402
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Authors: |
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Konstantinos A. Lazopoulos - 14 Theatrou Str., Rafina, 19009 Greece
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Anastasios K. Lazopoulos - Hellenic Army Academy, Department of Military Sciences, Sector of Mathematics and Engineering Applications, Applied Mechanics Laboratory, Vari, 16673, Greece
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How to Cite:
Konstantinos A. Lazopoulos, Anastasios K. Lazopoulos, On the Mathematical Formulation of Fractional Derivatives, Progress in Fractional Differentiation and Applications, Vol. 05, No. 4, pp: 261-267, 2019, Doi: https://dx.doi.org/10.18576/pfda/050402
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Global Solution to a Nonlinear Fractional Differential Equation for the Caputo–Fabrizio Derivative, Vol. 05, No. 4 (Oct. 2019), PP:269-281
doi:10.18576/pfda/050403
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Authors: |
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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
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Lucas Venturato - Depto. Matema ́tica, ECEN, FCEIA, Univ. Nac. de Rosario, Pellegrini 250, S2000BTP Rosario, Argentina
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Domingo A. Tarzia - CONICET - Depto. Matema ́tica, FCE, Univ. Austral, Paraguay 1950, S2000FZF Rosario, Argentina
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How to Cite:
Sabrina D. Roscani, Lucas Venturato, Domingo A. Tarzia, Global Solution to a Nonlinear Fractional Differential Equation for the Caputo–Fabrizio Derivative, Progress in Fractional Differentiation and Applications, Vol. 05, No. 4, pp: 269-281, 2019, Doi: https://dx.doi.org/10.18576/pfda/050403
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Analytic solution of space time fractional advection dispersion equation with retardation for contaminant transport in porous media, Vol. 05, No. 4 (Oct. 2019), PP:283-295
doi:10.18576/pfda/050404
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Authors: |
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Ritu Agarwal - Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India
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Mahaveer Prasad Yadav - Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India
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Ravi P. Agarwal - Department of Mathematics, Texas A&M University - Kingsville, 700 University Blvd. Kingsville, TX 78363-8202,USA
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Dumitru Baleanu - Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey\\ Institute of Space Science, R 76900, Magurele-Bucharest, Romania
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How to Cite:
Ritu Agarwal, Mahaveer Prasad Yadav, Ravi P. Agarwal, Dumitru Baleanu, Analytic solution of space time fractional advection dispersion equation with retardation for contaminant transport in porous media, Progress in Fractional Differentiation and Applications, Vol. 05, No. 4, pp: 283-295, 2019, Doi: https://dx.doi.org/10.18576/pfda/050404
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On Dynamics of a Fractional-Order SIRS Epidemic Model with Standard Incidence Rate and its Discretization, Vol. 05, No. 4 (Oct. 2019), PP:297-306
doi:10.18576/pfda/050405
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Authors: |
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Ahmed M. Yousef - Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
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Saad Z. Rida - Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
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Yassein Gh. Gouda - Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
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Asmaa S. Zaki - Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
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How to Cite:
Ahmed M. Yousef, Saad Z. Rida, Yassein Gh. Gouda, Asmaa S. Zaki, On Dynamics of a Fractional-Order SIRS Epidemic Model with Standard Incidence Rate and its Discretization, Progress in Fractional Differentiation and Applications, Vol. 05, No. 4, pp: 297-306, 2019, Doi: https://dx.doi.org/10.18576/pfda/050405
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Finite Difference Approximation Method for Two- Dimensional Space-Time Fractional Diffusion Equation Using Nonsingular Fractional Derivative, Vol. 05, No. 4 (Oct. 2019), PP:307-317
doi:10.18576/pfda/050406
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Authors: |
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Norodin A. Rangaig - Department of Physics, Mindanao State University-Main Campus, 9700 Marawi City, Philippines
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Alvanh Alem G. Pido - Department of Physics, Mindanao State University-Main Campus, 9700 Marawi City, Philippines
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How to Cite:
Norodin A. Rangaig, Alvanh Alem G. Pido, Finite Difference Approximation Method for Two- Dimensional Space-Time Fractional Diffusion Equation Using Nonsingular Fractional Derivative, Progress in Fractional Differentiation and Applications, Vol. 05, No. 4, pp: 307-317, 2019, Doi: https://dx.doi.org/10.18576/pfda/050406
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New Approximate Solutions to Fractional Smoking Model Using the Generalized Mittag-Leffler Function Method, Vol. 05, No. 4 (Oct. 2019), PP:319-326
doi:10.18576/pfda/050407
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Authors: |
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Hegagi Mohamed Ali - Department of Mathematics, Faculty of Sciences, Aswan University, Aswan 81528, Egypt
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How to Cite:
Hegagi Mohamed Ali, New Approximate Solutions to Fractional Smoking Model Using the Generalized Mittag-Leffler Function Method, Progress in Fractional Differentiation and Applications, Vol. 05, No. 4, pp: 319-326, 2019, Doi: https://dx.doi.org/10.18576/pfda/050407
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