Ulam type stability of ψ -Riemann-Liouville fractional differential equations using ( k , ψ ) -generalized Laplace transform
Adil Mısır, E. Cengizhan, Yasemin Başçı
Abstract
The primary objective of this paper is to explore the Hyers-Ulam stability of the \(\psi \)-Riemann-Liouville fractional differential equations by employing the \((k,\psi )\)-generalized Laplace transform method. The outcomes of our investigation represent advancements over certain existing results in the literature. Furthermore, we present illustrative examples to elucidate our primary findings.
Topics & Concepts
Laplace transformType (biology)MathematicsStability (learning theory)Mathematical analysisLaplace transform applied to differential equationsTwo-sided Laplace transformInverse Laplace transformFourier transformComputer scienceFractional Fourier transformMachine learningBiologyFourier analysisEcologyFunctional Equations Stability ResultsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equations