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4 results on '"Left-sided mixed Hadamard integral of fractional order"'

1. COUPLED HILFER AND HADAMARD FRACTIONAL DIFFERENTIAL SYSTEMS IN GENERALIZED BANACH SPACES.

Author

ABBAS, SAÏD, BENCHOHRA, MOUFFAK, and PETRUŞEL, ADRIAN

Subjects
*BANACH spaces, *GENERALIZED spaces, *FRACTIONAL integrals, *FRACTIONAL differential equations
Abstract

This article deals with some existence and uniqueness of solutions for some coupled systems of Hilfer and Hilfer-Hadamard fractional differential equations. Some applications are made of generalizations of classical fixed point theorems on generalized Banach spaces. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Coupled Hilfer fractional differential systems with random effects

Author

Saïd Abbas, Mouffak Benchohra, and Yong Zhou

Subjects
Functional differential equation, Left-sided mixed Riemann–Liouville integral of fractional order, Left-sided mixed Hadamard integral of fractional order, Hilfer fractional derivative, Hilfer–Hadamard fractional derivative, Coupled system, Mathematics, QA1-939
Abstract

Abstract This paper deals with some existence results for two classes of coupled systems of Hilfer and Hilfer–Hadamard random fractional differential equations. The main tool used to carry out our results is Itoh’s random fixed point theorem.

Published
2018
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3. COUPLED HILFER AND HADAMARD RANDOM FRACTIONAL DIFFERENTIAL SYSTEMS WITH FINITE DELAY IN GENERALIZED BANACH SPACES.

Author

ABBAS, SAÏD, AL ARIFI, NASSIR, BENCHOHRA, MOUFFAK, and HENDERSON, JOHNNY

Subjects
BANACH spaces, DIFFERENTIAL equations, FIXED point theory, INTEGRALS, COUPLED mode theory (Wave-motion)
Abstract

This article deals with some questions of existence and uniqueness of random solutions for some coupled systems of random Hilfer and Hilfer-Hadamard fractional differential equations with finite delay. We use some generalizations of classical random fixed point theorems on generalized Banach spaces. [ABSTRACT FROM AUTHOR]

Published
2020
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4. Caputo–Hadamard fractional differential Cauchy problem in Fréchet spaces.

Author

Abbas, Saïd, Benchohra, Mouffak, Berhoun, Farida, and Henderson, Johnny

Abstract

This article deals with some existence results of solutions for a class of differential equations involving the Caputo–Hadamard fractional derivative in Fréchet spaces. These results are based on a generalization of the classical Darbo fixed point theorem for Fréchet spaces associated with the concept of measure of noncompactness. We illustrate our results by an example. [ABSTRACT FROM AUTHOR]

Published
2019
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