Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order
Authors: Devaraj Vivek, Elsayed M. Elsayed, Kuppusamy Kanagarajan
Journal: e-Journal of Analysis and Applied Mathematics (e-JAAM), e-ISSN 2544-9990
Volume: 2022 · Pages: 24 - 32
Published Online: 29 Dec 2022
Abstract: In this paper, we mainly study the existence of analytical solutions of stochastic pantograph differential equations. The standard Picard's iteration method is used to obtain the theory.
Keywords: Pantograph differential equation, ψ-type fractional derivative, existence, Picard's iteration method