Abstract
Fractional differential equations can present the physical pathways with the storage and inherited properties due to the memory factor of fractional order. The purpose of this work is to interpret the collocation approach for tackling the fractional partial integro-differential equation (FPIDE) by employing the extended cubic B-spline (ECBS). To determine the time approximation, we utilize the Caputo approach. The stability and convergence analysis have also been analyzed. The efficiency and reliability of the suggested technique are demonstrated by two numerical applications, which support the theoretical results and the effectiveness of the implemented algorithm.
Highlights
We aim to extend the extended cubic B-spline (ECBS) technique for the solution of the nonlinear fractional partial integro-differential equation (FPIDE)
The ECBS collocation strategy is successfully described for the computed solutions of the nonlinear FPIDE with a weakly singular kernel
The Caputo fractional derivative (CFD) is approximated in terms of the finite difference technique
Summary
Citation: Akram, T.; Ali, Z.; Rabiei, F.; Shah, K.; Kumam, P. A Numerical and Poom Kumam 4,5, * Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
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