Existence and ulam stability of k-generalized ψ-Hilfer fractional problem
Jamal Eddine Lazreg, Mouffak Benchohra, Abdelkrim Salım
2022Journal of Innovative Applied Mathematics and Computational Sciences17 citationsDOIOpen Access PDF
Abstract
In this paper, we prove existence, uniqueness stability results for a class of initial value problem for fractional differential equations involving generalized ψ-Hilfer fractional derivative. The result is based on the Banach contraction mapping principle. In addition, two examples are given to illustrate our results.
Topics & Concepts
UniquenessMathematicsContraction principleFractional calculusBanach spaceStability (learning theory)Applied mathematicsMathematical analysisContraction mappingClass (philosophy)Pure mathematicsFixed-point theoremComputer scienceMachine learningArtificial intelligenceNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFixed Point Theorems Analysis