On k-Generalized Hilfer Impulsive Boundary Value Problem with Retarded and Advanced Arguments

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SALIM A.; BENCHOHRA M.; Lazreg j.e.; KARAPINAR E.

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2021 | Volume:15 | Issue:5 Page(s): 0-0

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Title

On k-Generalized Hilfer Impulsive Boundary Value Problem with Retarded and Advanced Arguments

Author(s)

SALIM A. | BENCHOHRA M. | Lazreg j.e. | KARAPINAR E. | Issue Writer Certificate

Keywords

Hilfer fractional derivative

k-generalized-Hilfer fractional derivative

impulsions

retarded arguments

advanced arguments

existence

uniqueness

Abstract

This paper deals with the existence and uniqueness results for a class of impulsive boundary value problem for implicit nonlinear fractional differential equations and k-Generalized-Hilfer fractional derivative involving both retarded and advanced arguments. Our results are based on the Banach contraction principle and Schauder's fixed point theorem. Suitable illustrative examples are provided.

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APA: Copy

SALIM, A., BENCHOHRA, M., Lazreg, j.e., & KARAPINAR, E.. (2021). On k-Generalized Hilfer Impulsive Boundary Value Problem with Retarded and Advanced Arguments. JOURNAL OF MATHEMATICAL EXTENSION, 15(5), 0-0. SID. https://sid.ir/paper/1066571/en

Vancouver: Copy

SALIM A., BENCHOHRA M., Lazreg j.e., KARAPINAR E.. On k-Generalized Hilfer Impulsive Boundary Value Problem with Retarded and Advanced Arguments. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2021;15(5):0-0. Available from: https://sid.ir/paper/1066571/en

IEEE: Copy

A. SALIM, M. BENCHOHRA, j.e. Lazreg, and E. KARAPINAR, “On k-Generalized Hilfer Impulsive Boundary Value Problem with Retarded and Advanced Arguments,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 15, no. 5, pp. 0–0, 2021, [Online]. Available: https://sid.ir/paper/1066571/en

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