Note on the Solution of Random Differential Equations Via Ψ-Hilfer Fractional Derivative
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Date
2018
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Publisher
Springer
Open Access Color
GOLD
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Abstract
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with psi-Hilfer fractional derivative. The concerned investigation of existence and uniqueness is obtained via the Schauder fixed point theorem and Banach contraction principle, respectively. Furthermore, for the respective solutions, some results related to different kinds of Ulam type stability including Hyers-Ulam, and generalized Hyers-Ulam, Hyers-Ulam-Rassias are obtained.
Description
Shah, Kamal/0000-0002-8851-4844
ORCID
Keywords
Random Differential Equations, Psi-Hilfer Fractional Derivative, Existence Theory, Stability Analysis, Financial economics, Economics, Theory and Applications of Fractional Differential Equations, Contraction mapping, Mathematical analysis, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Schauder fixed point theorem, Fixed-point theorem, Stability (learning theory), ψ-Hilfer fractional derivative, Biology, Anomalous Diffusion Modeling and Analysis, C0-semigroup, Existence theory, Banach space, Ecology, Applied Mathematics, Fractional calculus, Pure mathematics, Stability analysis, Contraction principle, Fixed point, Stability of Functional Equations in Mathematical Analysis, Hyers-Ulam Stability, Applied mathematics, Computer science, Random differential equations, Picard–Lindelöf theorem, Modeling and Simulation, Derivative (finance), FOS: Biological sciences, Physical Sciences, Uniqueness, Type (biology), Mathematics, Ordinary differential equation, Ordinary differential equations and systems with randomness, existence theory, Fractional ordinary differential equations, Stability of solutions to ordinary differential equations, stability analysis, Fractional derivatives and integrals, random differential equations, \(\psi\)-Hilfer fractional derivative
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Harikrishnan, S...et al. (2018). Note on the solution of random differential equations via psi-Hilfer fractional derivative, Advances in Difference Equations.
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Q1
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OpenCitations Citation Count
18
Source
Advances in Difference Equations
Volume
2018
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CrossRef : 17
Scopus : 27
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SCOPUS™ Citations
29
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25
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3
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