A Study of Boundary Value Problem for Generalized Fractional Differential Inclusion Via Endpoint Theory for Weak Contractions
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Date
2020
Journal Title
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Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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Top 10%
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Abstract
This note is concerned with establishing the existence of solutions to a fractional differential inclusion of a psi -Caputo-type with a nonlocal integral boundary condition. Using the concept of the endpoint theorem for phi -weak contractive maps, we investigate the existence of solutions to the proposed problem. An example is provided at the end to clarify the theoretical result.
Description
Belmor, Samiha/0000-0002-1659-4734; Abdeljawad, Thabet/0000-0002-8889-3768
Keywords
Riemann-Liouville Fractional Derivative With Respect To Another Function, Caputo Fractional Derivative With Respect To Another Function, Fractional Differential Inclusion, Phi-Weak Contractive, 26A33, 34A60, 30E25, φ-Weak contractive, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, QA1-939, FOS: Mathematics, Fixed-point theorem, Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Differential inclusion, Fractional differential inclusion, Ecology, Applied Mathematics, Partial differential equation, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Fractional Derivatives, Caputo fractional derivative with respect to another function, Boundary Value Problems, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Riemann–Liouville fractional derivative with respect to another function, Type (biology), Mathematics, Ordinary differential equation, Fractional ordinary differential equations, \(\phi\)-weak contractive, Riemann-Liouville fractional derivative with respect to another function, Fractional derivatives and integrals, Applications of operator theory to differential and integral equations, fractional differential inclusion, Nonlocal and multipoint boundary value problems for ordinary differential equations
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Belmor, Samiha...et al. (2020). "A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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OpenCitations Citation Count
10
Source
Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 1
Scopus : 13
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13
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2
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