A numerical study of nonlinear fractional order partial integro-differential equation with a weakly singular kernel

Tayyaba Akram, Zeeshan Ali, Faranak Rabiei, Kamal Shah, Poom Kumam

Research output: Contribution to journalArticleResearchpeer-review

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.

Original languageEnglish
Article number85
Number of pages15
JournalFractal and Fractional
Volume5
Issue number3
DOIs
Publication statusPublished - Sep 2021

Keywords

  • B-spline
  • Collocation method
  • Fractional partial integro-differential equation

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