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Two Sequential Fractional Hybrid Differential Inclusions

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Date

2020

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Volume Title

Publisher

Springer

Open Access Color

GOLD

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No

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Abstract

The main objective of this paper is to concern with a new category of the sequential hybrid inclusion boundary value problem with three-point integro-derivative boundary conditions. In this direction, we employ various novel analytical techniques based on alpha-psi-contractive mappings, endpoints, and the fixed points of the product operators to obtain the main results. Finally, we provide two examples to illustrate our main results.

Description

Etemad, Sina/0000-0002-1574-1800; Rezapour, Shahram/0000-0003-3463-2607; Mohammadi, Hakimeh/0000-0002-7492-9782

Keywords

Alpha-Psi-Contraction, Endpoint, Sequential Hybrid Inclusion Problem, The Caputo Derivative, Financial economics, Economics, Geometry, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Value (mathematics), Differential equation, α-ψ-contraction, QA1-939, FOS: Mathematics, The Caputo derivative, Sequential hybrid inclusion problem, Fixed-point theorem, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Product (mathematics), Differential inclusion, Applied Mathematics, Statistics, Fractional calculus, Partial differential equation, Fixed point, Endpoint, Applied mathematics, Partial derivative, Boundary values, Boundary Value Problems, Modeling and Simulation, Derivative (finance), Physical Sciences, Geometry and Topology, Mathematics, Ordinary differential equation, sequential hybrid inclusion problem, Fractional ordinary differential equations, Caputo derivative, Fractional derivatives and integrals, Ordinary differential inclusions, endpoint, \(\alpha\)-\(\psi\)-contraction

Fields of Science

01 natural sciences, 0101 mathematics

Citation

Mohammadi, Hakimeh...et al. (2020). "Two sequential fractional hybrid differential inclusions", Advances in Difference Equations, Vol. 2020, No. 1.

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Q1

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OpenCitations Citation Count
30

Source

Advances in Difference Equations

Volume

2020

Issue

1

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Citations

CrossRef : 8

Scopus : 31

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Mendeley Readers : 2

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