Affiliation:
1. University Sultan Moulay Slimane
2. University Soultan Moulay Slimane
Abstract
In this paper, the Ulam-Hyers-Rassias stability is discussed and the existence and uniqueness of solutions for a class of implicit fractional $\psi$-Hilfer Langevin equation with impulse and time delay are investigated. A novel form of generalized Gronwall inequality is introduced. Picard operator theory is employed in authour’s analysis. An example will be given to support the validity of our findings.
Publisher
Communications in Advanced Mathematical Sciences
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