Ulam-Hyers Stability Analysis To a Class of Nonlinear Implicit Impulsive Fractional Differential Equations With Three Point Boundary Conditions
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Date
2019
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Springer
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GOLD
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Abstract
In this article, we discuss the sufficient conditions for the existence, uniqueness and stability of solutions to a class of nonlinear impulsive boundary value problem of fractional order differential equations. Using classical fixed point theorems, we develop the required conditions. Further, using the techniques of nonlinear functional analysis, we investigate Ulam-Hyers stability results to the proposed problem. For applications of our derived results, we present two numerical examples.
Description
Shah, Kamal/0000-0002-8851-4844; Ali, Arshad/0000-0001-7815-3849; Jarad, Fahd/0000-0002-3303-0623
Keywords
Impulsive Conditions, Implicit Differential Equations, Ulam-Hyers Stability, Artificial intelligence, Class (philosophy), Ulam–Hyers stability, Integro-Differential Equations, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), Fixed-point theorem, Boundary value problem, Implicit differential equations, Anomalous Diffusion Modeling and Analysis, Numerical partial differential equations, Applied Mathematics, Physics, Partial differential equation, Applied mathematics, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, Impulsive conditions, Modeling and Simulation, Physical Sciences, Nonlinear system, Uniqueness, Mathematics, Ordinary differential equation, Stability theory of functional-differential equations, Fractional ordinary differential equations, Ulam-Hyers stability, Fractional derivatives and integrals, implicit differential equations, impulsive conditions, Nonlocal and multipoint boundary value problems for ordinary differential equations
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Asma; Ali, Arshad; Shah, Kamal; et al., "Ulam-Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions", Advances in Difference Equations, (January 2019).
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Q1
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OpenCitations Citation Count
22
Source
Advances in Difference Equations
Volume
2019
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