Well-posedness and numerical simulations employing Legendre-shifted spectral approach for Caputo–Fabrizio fractional stochastic integrodifferential equations

• Published in: International journal of modern physics. C, Computational physics, physical computation Vol. 34; no. 6
• Main Authors: Badawi, Haneen, Arqub, Omar Abu, Shawagfeh, Nabil
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 01.06.2023; World Scientific Publishing Co. Pte., Ltd
• Subjects: Banach spaces; Brownian motion; Collocation methods; Polynomials; Randomness; Spectral methods; Well posed problems; fractional stochastic integrodifferential equation; Fractional Caputo–Fabrizio derivative; Legendre-shifted collocation spectral method; standard Brownian motion

This paper investigates the well-posedness of a class of FSIDEs utilizing the fractional Caputo–Fabrizio derivative. Herein, the well-posedness proofs are constructed by considering some applicable conditions and combining theories of Banach space, AAT, and FPST. Approximating the solutions of such...