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On Caputo-Hadamard Type Coupled Systems of Nonconvex Fractional Differential Inclusions

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Date

2021

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Publisher

Springer

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GOLD

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Abstract

This research article is mainly concerned with the existence of solutions for a coupled Caputo-Hadamard of nonconvex fractional differential inclusions equipped with boundary conditions. We derive our main result by applying Mizoguchi-Takahashi's fixed point theorem with the help of P-function characterizations.

Description

Belmor, Samiha/0000-0002-1659-4734

Keywords

Hadamard Fractional Integral, Hadamard-Caputo Fractional Derivative, Mt-Function, P-Function, Mizoguchi-Takahashi'S Condition, P $\mathcal{P}$ -function, MT $\mathcal{MT}$ -function, Mizoguchi–Takahashi’s condition, Evolutionary biology, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Hadamard–Caputo fractional derivative, Fixed Point Theorems in Metric Spaces, Differential equation, QA1-939, FOS: Mathematics, Fixed-point theorem, Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Differential inclusion, Ecology, Fixed Point Theorems, Applied Mathematics, Pure mathematics, Partial differential equation, Applied mathematics, Fractional Derivatives, Function (biology), Modeling and Simulation, FOS: Biological sciences, Hadamard fractional integral, Physical Sciences, Geometry and Topology, Type (biology), Mathematics, Ordinary differential equation, Mizoguchi-Takahashi's condition, Fractional ordinary differential equations, Fractional derivatives and integrals, Ordinary differential inclusions, Hadamard-Caputo fractional derivative

Fields of Science

01 natural sciences, 0101 mathematics

Citation

Belmor, Samiha; Jarad, Fahd; Abdeljawad, Thabet (2021). "On Caputo–Hadamard type coupled systems of nonconvex fractional differential inclusions", Advances in Difference Equations, Vol. 2021, No. 1.

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Q1

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OpenCitations Citation Count
5

Source

Advances in Difference Equations

Volume

2021

Issue

1

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Citations

CrossRef : 4

Scopus : 7

SCOPUS™ Citations

7

checked on Feb 27, 2026

Web of Science™ Citations

6

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Page Views

4

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