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Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative

قابلية حل التضمين التفاضلي الكسري مع مشتق كابوتو المعمم
Authors: Tamer Nabil;

Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative

Abstract

This paper is devoted to the investigation of a kind of generalized Caputo semilinear fractional differential inclusions with deviated-advanced nonlocal conditions. Solvability of the problem is established by means of the Leray-Schauder’s alternative approach with the help of the Lagrange mean-value classical theorem. Finally, some examples are given to delineate the efficient of theoretical results.

Related Organizations
Keywords

Fractional Differential Equations, Fractional ordinary differential equations, Theory and Applications of Fractional Differential Equations, Mathematical analysis, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Ordinary differential inclusions, Differential inclusion, Applications of operator theory to differential and integral equations, Applied Mathematics, Physics, FOS: Clinical medicine, Fractional calculus, Partial Differential Equations, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Fractional Derivatives, Semilinear Differential Equations, Modeling and Simulation, Dentistry, Physical Sciences, Thermodynamics, Medicine, Fractional Calculus, Differential (mechanical device), Nonlocal and multipoint boundary value problems for ordinary differential equations, Calculus (dental), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold
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