On a Caputo Conformable Inclusion Problem With Mixed Riemann-Liouville Conformable Integro-Derivative Conditions
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
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Publicly Funded
No
Abstract
We discuss some existence criteria for a new category of the Caputo conformable differential inclusion furnished with four-point mixed Riemann-Liouville conformable integro-derivative boundary conditions. In this way, we employ some analytical techniques on alpha-psi-contractive mappings and operators having the approximate endpoint property to reach desired theoretical results. Finally, we provide an example to illustrate our last main result.
Description
Rezapour, Shahram/0000-0003-3463-2607; Etemad, Sina/0000-0002-1574-1800
Keywords
Alpha-Psi-Contractive Mappings, Approximate Endpoint Property, Mixed Integro-Derivative Conditions, The Caputo Conformable Derivative, α-ψ-contractive mappings, Financial economics, Economics, Conformable matrix, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Engineering, Differential equation, QA1-939, FOS: Mathematics, The Caputo conformable derivative, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Differential inclusion, Applied Mathematics, Physics, Pure mathematics, Partial differential equation, Applied mathematics, Mixed integro-derivative conditions, Fracture Mechanics Modeling and Simulation, Boundary Value Problems, Mechanics of Materials, Modeling and Simulation, Derivative (finance), Physical Sciences, Approximate endpoint property, Mathematics, Ordinary differential equation, Fractional ordinary differential equations, Caputo conformable derivative, Fractional derivatives and integrals, approximate endpoint property, Ordinary differential inclusions, Applications of operator theory to differential and integral equations, mixed integro-derivative conditions, \(\alpha\)-\(\psi\)-contractive mappings
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram (2020). "On a Caputo conformable inclusion problem with mixed Riemann–Liouville conformable integro-derivative conditions", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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OpenCitations Citation Count
6
Source
Advances in Difference Equations
Volume
2020
Issue
1
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 3
Scopus : 10
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Mendeley Readers : 2
SCOPUS™ Citations
10
checked on Feb 24, 2026
Web of Science™ Citations
8
checked on Feb 24, 2026
Page Views
2
checked on Feb 24, 2026
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