Research Article

Space-Fractional Transport Equation

Volume: 8 Number: 2 October 27, 2020
EN

Space-Fractional Transport Equation

Abstract

In this article, the author consider certain space fractional equations using integral transforms and exponential operators. Transform method is a powerful tool for solving singular integral equations, evaluation of certain integrals and solution to partial fractional differential equations. The result reveals that the exponential operators method is very convenient and effective. Constructive examples occur throughout the paper.                                                                    

Keywords

Supporting Institution

University of Guilan

References

  1. [1] A. Aghili, Solution to time fractional non homogeneous first order PDE with non constant coefficients.Tbilisi Mathematical Journal 12(4) (2019), pp. 149–155.
  2. [2] A. Aghili, Fractional Black-Scholes equation, International Journal of Financial Engineering, 4(1)(2017) World Scientific Publishing Company, DOI:10.1142/S2424786317500049
  3. [3] A. Aghili, Complete Solution For The Time Fractional Diffusion Problem With Mixed Boundary Conditions By Operational Method, Applied Mathematics and Non- linear Sciences, April (2020) (aop) 1-12.
  4. [4] A. Aghili, Special functions, integral transforms with applications, Tbilisi Mathematical Journal 12 (1) (2019), 33-44.
  5. [5] A. Aghili; M.R. Masomi, Integral transform method for solving different F.S.I.Es and P.F.D.Es, Konuralp Journal of Mathematics, Volume 2, No. 1 pp. 45-62, 2014.
  6. [6] A. Apelblat,Laplace transforms and their applications, Nova science publishers, Inc, New York, 2012.
  7. [7] T.M. Atanackovic and B. Stankovic,Dynamics of a visco -elastic rod of Fractional derivative type, Z. Angew. Math. Mech., 82(6), (2002) 377-386.
  8. [8] T.M. Atanackovic and B. Stankovic, On a system of differential equations with fractional derivatives arising in rod theory, Journal of Physics A: Mathematical and General, 37, No 4, 1241-1250 (2004).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

October 27, 2020

Submission Date

January 14, 2020

Acceptance Date

July 13, 2020

Published in Issue

Year 2020 Volume: 8 Number: 2

APA
Aghili, A. (2020). Space-Fractional Transport Equation. Konuralp Journal of Mathematics, 8(2), 304-312. https://izlik.org/JA28XP79SK
AMA
1.Aghili A. Space-Fractional Transport Equation. Konuralp J. Math. 2020;8(2):304-312. https://izlik.org/JA28XP79SK
Chicago
Aghili, Arman. 2020. “Space-Fractional Transport Equation”. Konuralp Journal of Mathematics 8 (2): 304-12. https://izlik.org/JA28XP79SK.
EndNote
Aghili A (October 1, 2020) Space-Fractional Transport Equation. Konuralp Journal of Mathematics 8 2 304–312.
IEEE
[1]A. Aghili, “Space-Fractional Transport Equation”, Konuralp J. Math., vol. 8, no. 2, pp. 304–312, Oct. 2020, [Online]. Available: https://izlik.org/JA28XP79SK
ISNAD
Aghili, Arman. “Space-Fractional Transport Equation”. Konuralp Journal of Mathematics 8/2 (October 1, 2020): 304-312. https://izlik.org/JA28XP79SK.
JAMA
1.Aghili A. Space-Fractional Transport Equation. Konuralp J. Math. 2020;8:304–312.
MLA
Aghili, Arman. “Space-Fractional Transport Equation”. Konuralp Journal of Mathematics, vol. 8, no. 2, Oct. 2020, pp. 304-12, https://izlik.org/JA28XP79SK.
Vancouver
1.Arman Aghili. Space-Fractional Transport Equation. Konuralp J. Math. [Internet]. 2020 Oct. 1;8(2):304-12. Available from: https://izlik.org/JA28XP79SK
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