Existence and Stability Results for Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order
By Mouffak Benchohra, S. Bouriah. 2015
94 citations recorded by the source corpus.
In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of boundary value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle. Two examples are included to show the applicability of our results.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/94659e43936642042ce479ba0d60a787388eff81
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In Applied Mathematics
- J. Lazreg
- Mouffak Benchohra
- Jinrong Wang
- Yong Zhou
- E. Capelas de Oliveira
- Ravi P. Agarwal
- J. Sousa
- Saïd Abbas
In Modeling and Simulation
- J. Lazreg
- Mouffak Benchohra
- Yong Zhou
- Jinrong Wang
- E. Capelas de Oliveira
- J. Sousa
- Saïd Abbas
- Ravi P. Agarwal
Citations in the corpus
- Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations (2020, unknown): “Using Equation (32) in Equation (31), we get |||(Ψ (t) − Ψ (a))2−ξPx(t)||| ≤ (Ψ (t) − Ψ (a)) ΛΓ(ξ) [ m ∑”
- Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative (2017, result): “[7, 12, 14, 15, 16, 33] and books [11, 25, 26, 27] on this subject have been published in order to generalize the results of Hyers in many directions.”