Existence and stability of integro differential equation with generalized proportional fractional derivative
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Publication:6060290
DOI10.3103/S1068362323040040MaRDI QIDQ6060290
D. Vivek, Sugumaran Harikrishnan, Elsayed M. Elsayed
Publication date: 3 November 2023
Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)
Other nonlinear integral equations (45G10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fuzzy real analysis (26E50)
Cites Work
- Random differential equations in science and engineering
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- On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
- Note on the solution of random differential equations via \(\psi\)-Hilfer fractional derivative
- Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
- Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
- A Caputo fractional derivative of a function with respect to another function
- On Hilfer generalized proportional fractional derivative
- On the \(\psi\)-Hilfer fractional derivative
- Ulam stability and data dependence for fractional differential equations with Caputo derivative
- Controllability and Hyers-Ulam stability results of initial value problems for fractional differential equations via generalized proportional-Caputo fractional derivative
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