Stability Analysis for Boundary Value Problems With Generalized Nonlocal Condition Via Hilfer-Katugampola Fractional Derivative
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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
In this research, we present the stability analysis of a fractional differential equation of a generalized Liouville-Caputo-type (Katugampola) via the Hilfer fractional derivative with a nonlocal integral boundary condition. Besides, we derive the relation between the proposed problem and the Volterra integral equation. Using the concepts of Banach and Krasnoselskii's fixed point theorems, we investigate the existence and uniqueness of solutions to the proposed problem. Finally, we present two examples to clarify the abstract result.
Description
Kumam, Poom/0000-0002-5463-4581
ORCID
Keywords
Hilfer Fractional Derivative, Stability, Volterra Integral Equation, Nonlocal Integral Condition, Financial economics, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Hilfer fractional derivative, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), Fixed-point theorem, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Integral equation, Banach space, Applied Mathematics, Fractional calculus, Partial differential equation, Nonlocal integral condition, Volterra integral equation, Applied mathematics, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, Boundary Value Problems, Modeling and Simulation, Derivative (finance), Physical Sciences, Uniqueness, Stability, Mathematics, Ordinary differential equation, Fractional ordinary differential equations, Fractional derivatives and integrals, Applications of operator theory to differential and integral equations, stability, nonlocal integral condition, Nonlocal and multipoint boundary value problems for ordinary differential equations
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Ahmed, Idris...et al. (2020). "Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative", Advances in Difference Equations, Vol. 2020, No.1.
WoS Q
Q1
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OpenCitations Citation Count
15
Source
Advances in Difference Equations
Volume
2020
Issue
1
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End Page
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CrossRef : 4
Scopus : 28
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Mendeley Readers : 4
SCOPUS™ Citations
29
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Web of Science™ Citations
31
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3
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