Existence and Stability Analysis To a Coupled System of Implicit Type Impulsive Boundary Value Problems of Fractional-Order Differential Equations
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Date
2019
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Publisher
Springer
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GOLD
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Abstract
In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems to obtain conditions for the existence and uniqueness of positive solutions. We discuss Hyers-Ulam (HU) type stability of the concerned solutions and provide an example for illustration of the obtained results.
Description
Ali, Arshad/0000-0001-7815-3849; Jarad, Fahd/0000-0002-3303-0623; Shah, Kamal/0000-0002-8851-4844
Keywords
Coupled System, Arbitrary Order Differential Equations, Impulsive Conditions, Hyers-Ulam Stability, Arbitrary order differential equations, Economics, Integro-Differential Equations, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Contraction mapping, Differential equation, Coupled system, QA1-939, FOS: Mathematics, Fixed-point theorem, Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Hyers–Ulam stability, Impulsive Differential Equations, Ecology, Applied Mathematics, Partial differential equation, Contraction principle, Fixed point, Applied mathematics, Nonlocal Partial Differential Equations and Boundary Value Problems, Impulsive conditions, Boundary Value Problems, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Uniqueness, Type (biology), Mathematics, Ordinary differential equation, Finance, Fractional ordinary differential equations, coupled system, Boundary value problems for functional-differential equations, Fractional derivatives and integrals, Hyers-Ulam stability, impulsive conditions, Functional-differential equations with impulses, arbitrary order differential equations, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Ali, Arshad...et al. (2019). "Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations", Advances in Difference Equations.
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Q1
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OpenCitations Citation Count
35
Source
Advances in Difference Equations
Volume
2019
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CrossRef : 6
Scopus : 53
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55
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2
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