Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations
By Ashwini D. Mali, Kishor D. Kucche. Mathematical methods in the applied sciences, 2020
47 citations recorded by the source corpus.
In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit fractional differential equations involving Ψ‐Hilfer fractional derivative subject to nonlocal fractional integral boundary conditions. The existence of a solution, Ulam–Hyers, and Ulam–Hyers–Rassias stability have been acquired by means of an equivalent fractional integral equation. Our investigations depend on the fixed‐point theorem due to Krasnoselskii and the Gronwall inequality involving Ψ‐Riemann–Liouville fractional integral. Finally, examples are provided to show the utilization of primary outcomes.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/a9c417ad09a3d76d45f4f37cbd827ce9c27ab247
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In Applied Mathematics
In Modeling and Simulation
Citations in the corpus
- On the Nonlinear $\Psi$-Hilfer Hybrid Fractional Differential Equations (2020, background): “Investigation of initial and boundary value problems for Ψ-Hilfer about existence, uniqueness, data dependence and Ulam-Hyers stabilities may be found in [24, 25, 26, 27, 28, 29, 30, 31, 32, 33].”