The Study of Some Boundary Value Problems Including Fractional Partial Di erential Equations with non-Local Boundary Conditions

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HOSSEINI R.; JAHANSHAHI M.; Pashavand A.A.; ALIEV N.

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2019 | Volume:14 | Issue:2 Page(s): 69-77

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Title

The Study of Some Boundary Value Problems Including Fractional Partial Di erential Equations with non-Local Boundary Conditions

Author(s)

HOSSEINI R. | JAHANSHAHI M. | Pashavand A.A. | ALIEV N. | Issue Writer Certificate

Keywords

Mittag-Le ler function

Fractional partial dierential equation

non-Local boundary condition

Abstract

In this paper, we consider some boundary value problems (BVP) for fractional order partial di erential equations (FPDE) with non-Local boundary conditions. The solutions of these problems are pre-sented as series solutions analytically via modi ed Mittag-Le er func-tions. These functions have been modi ed by authors such that their derivatives are invariant with respect to fractional derivative. The pre-sented solutions for these problems are as in nite series. Convergence of series solutions and uniqueness of them are established by general theory of mathematical analysis and theory of ODEs.

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APA: Copy

HOSSEINI, R., JAHANSHAHI, M., Pashavand, A.A., & ALIEV, N.. (2019). The Study of Some Boundary Value Problems Including Fractional Partial Di erential Equations with non-Local Boundary Conditions. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 14(2), 69-77. SID. https://sid.ir/paper/310498/en

Vancouver: Copy

HOSSEINI R., JAHANSHAHI M., Pashavand A.A., ALIEV N.. The Study of Some Boundary Value Problems Including Fractional Partial Di erential Equations with non-Local Boundary Conditions. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2019;14(2):69-77. Available from: https://sid.ir/paper/310498/en

IEEE: Copy

R. HOSSEINI, M. JAHANSHAHI, A.A. Pashavand, and N. ALIEV, “The Study of Some Boundary Value Problems Including Fractional Partial Di erential Equations with non-Local Boundary Conditions,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 14, no. 2, pp. 69–77, 2019, [Online]. Available: https://sid.ir/paper/310498/en

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