Qualitative analysis for the solutions of fractional stochastic differential equations

A Mohammed Djaouti, M Imran Liaqat - Axioms, 2024 - mdpi.com
Fractional pantograph stochastic differential equations (FPSDEs) combine elements of
fractional calculus, pantograph equations, and stochastic processes to model complex …

A Study of Some Generalized Results of Neutral Stochastic Differential Equations in the Framework of Caputo–Katugampola Fractional Derivatives

AM Djaouti, ZA Khan, MI Liaqat, A Al-Quran - Mathematics, 2024 - mdpi.com
Inequalities serve as fundamental tools for analyzing various important concepts in
stochastic differential problems. In this study, we present results on the existence …

Approximate and Exact Solutions of Some Nonlinear Differential Equations Using the Novel Coupling Approach in the Sense of Conformable Fractional Derivative

MI Liaqat, A Akgül - Contemporary Mathematics, 2024 - ojs.wiserpub.com
Several scientific fields utilize fractional nonlinear partial differential equations to model
various phenomena. However, most of these equations lack exact solutions. Consequently …

A Hybrid Approach to Approximate and Exact Solutions for Linear and Nonlinear Fractional-Order Schrödinger Equations with Conformable Fractional Derivatives

MI Liaqat - 2024 - ejamjournal.com
Fractional-order Schrödinger differential equations extend the classical Schrödinger
equation by incorporating fractional calculus to describe more complex physical …