Existence and Ulam Stability for Impulsive Generalized Hilfer-Type Fractional Differential Equations
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Date
2020
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Springer
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Abstract
In this manuscript, we examine the existence and the Ulam stability of solutions for a class of boundary value problems for nonlinear implicit fractional differential equations with instantaneous impulses in Banach spaces. The results are based on fixed point theorems of Darbo and Monch associated with the technique of measure of noncompactness. We provide some examples to indicate the applicability of our results.
Description
Salim, Abdelkrim/0000-0003-2795-6224
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Keywords
Boundary Value Problem, Generalized Hilfer Fractional Derivative, Fractional Integral, Impulses, Fixed Point, Measure Of Noncompactness, Implicit Fractional Differential Equations, Ulam-Hyers-Rassias Stability, Artificial intelligence, Class (philosophy), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Database, Fixed Point Theorems in Metric Spaces, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Fixed-point theorem, Stability (learning theory), Boundary value problem, Biology, Fractional integral, Anomalous Diffusion Modeling and Analysis, C0-semigroup, Measure of noncompactness, Impulsive Differential Equations, Banach space, Ecology, Applied Mathematics, Physics, Measure (data warehouse), Partial differential equation, Fixed point, Applied mathematics, Computer science, Generalized Hilfer fractional derivative, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Impulses, Nonlinear system, Geometry and Topology, Type (biology), Mathematics, Ordinary differential equation, implicit fractional differential equations, Fractional ordinary differential equations, Structural stability and analogous concepts of solutions to ordinary differential equations, Fractional derivatives and integrals, Ordinary differential equations with impulses, fixed point, boundary value problem, Ulam-Hyers-Rassias stability, generalized Hilfer fractional derivative, measure of noncompactness, fractional integral, Applications of operator theory to differential and integral equations, impulses
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Fields of Science
01 natural sciences, 0101 mathematics
Citation
Salim, Abdelkrim...et al. (2020). "Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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63
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Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 53
Scopus : 86
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