A Numerical Study of Nonlinear Fractional Order Partial Integro-Differential Equation with a Weakly Singular Kernel

被引：7

作者：

Akram, Tayyaba ^{[1
]}

Ali, Zeeshan ^{[2
]}

Rabiei, Faranak ^{[2
]}

Shah, Kamal ^{[3
]}

Kumam, Poom ^{[4
,5
,6
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia

[2] Monash Univ Malaysia, Sch Engn, Subang Jaya 47500, Selangor, Malaysia

[3] Univ Malakand, Dept Math, Dir L 18000, Khyber Pakhtunk, Pakistan

[4] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[5] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, KMUTTFixed Point Res Lab, Room SCL 802 Fixed Point Lab,Sci Lab Bldg,Dept Ma, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 03期

关键词：

collocation method; fractional partial integro-differential equation; B-spline; PARTIAL-DIFFERENTIAL-EQUATION;

D O I：

10.3390/fractalfract5030085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：15

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