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On Fractional Integro-Differential Inclusions Via the Extended Fractional Caputo-Fabrizio Derivation

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Date

2019

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Publisher

Springeropen

Open Access Color

GOLD

Green Open Access

No

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No
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Top 0.1%
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Top 10%
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Top 1%

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Abstract

We first show that four fractional integro-differential inclusions have solutions. Also, we show that dimension of the set of solutions for the second fractional integro-differential inclusion problem is infinite dimensional under some different conditions.

Description

Keywords

Caputo-Fabrizio Fractional Derivation, Dimension Of The Set Of Solutions, Fractional Differential Inclusion, Fractional Differential Equations, Set (abstract data type), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, FOS: Mathematics, Caputo–Fabrizio fractional derivation, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, QA299.6-433, Numerical Analysis, Differential inclusion, Fractional differential inclusion, Applied Mathematics, Fractional calculus, Pure mathematics, Partial differential equation, Applied mathematics, Computer science, Programming language, Fractional Derivatives, Dimension (graph theory), Dimension of the set of solutions, Modeling and Simulation, Physical Sciences, Fractional Calculus, Analysis, Mathematics, Ordinary differential equation, dimension of the set of solutions, Integro-ordinary differential equations, Fractional derivatives and integrals, Functional-differential inclusions, Caputo-Fabrizio fractional derivation, fractional differential inclusion

Fields of Science

02 engineering and technology, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering

Citation

Baleanu, Dumitru; Rezapour, Shahram; Saberpour, Zohreh, "On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation", Boundary Value Problems, (April 2019).

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OpenCitations Citation Count
149

Source

Boundary Value Problems

Volume

2019

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CrossRef : 22

Scopus : 159

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Mendeley Readers : 4

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