Differential Transform Method for Solving Volterra q-Integral Equations

被引：0

作者：

Bhat, Altaf A. ^{[1
]}

Rizvi, Haider Abbas ^{[2
]}

Ganie, Javid A. ^{[3
]}

Sulaiman, Faiza A. ^{[1
]}

Jain, D. K. ^{[4
]}

机构：

[1] Univ Technol & Appl Sci, Dept Gen Requirements, Salalah, Oman

[2] Dhofar Univ, Coll Arts & Appl Sci, Dept Math & Sci, Salalah, Oman

[3] Govt Degree Coll Boys Baramulla, Pg Dept Math, Baramulla, India

[4] Madhav Inst Sci & Technol, Dept Engn Math & Comp, Gwalior, India

来源：

CONTEMPORARY MATHEMATICS | 2023年 / 4卷 / 04期

关键词：

q-differential transform method; Volterra q-integral equations; integral transforms; q-calculus;

D O I：

10.37256/cm.4420232549

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Volterra q-integral equations are solved by using the method of q-differential transformation. Exact solutions of linear and nonlinear q-integral equations have been investigated. To illustrate the method, several problems are discussed for the effectiveness and performance of the proposed method.

引用

页码：1222 / 1233

页数：12

共 50 条

[1] Application of fuzzy differential transform method for solving fuzzy Volterra integral equations
Salahshour, S.
Allahviranloo, T.
APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) : 1016 - 1027
[2] Fractional differential transform method for solving a class of weakly singular Volterra integral equations
Rahimi, E.
Taghvafard, H.
Erjaee, G. H.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2014, 38 (A1): : 69 - 73
[3] On a class of nonlinear Volterra-Fredholm q-integral equations
Mansour, Zeinab S. I.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (01) : 61 - 78
[4] On a class of nonlinear Volterra-Fredholm q-integral equations
Zeinab S. I. Mansour
Fractional Calculus and Applied Analysis, 2014, 17 : 61 - 78
[5] q-Integral Transforms for Solving Fractional q-Difference Equations
Ismail, Mourad
Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : 271 - 293
[6] Differential transform method for solving Volterra integral equation with separable kernels
Odibat, Zaid M.
MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (7-8) : 1144 - 1149
[7] Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method
Tari, A.
Rahimi, M. Y.
Shahmorad, S.
Talati, F.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 228 (01) : 70 - 76
[8] A Numerical Method for Solving Volterra Integral Equations with Oscillatory Kernels Using a Transform
Uddin, M.
Khan, A.
NUMERICAL ANALYSIS AND APPLICATIONS, 2021, 14 (04) : 379 - 387
[9] A Numerical Method for Solving Volterra Integral Equations with Oscillatory Kernels Using a Transform
M. Uddin
A. Khan
Numerical Analysis and Applications, 2021, 14 : 379 - 387
[10] Numerical method for solving a kind of Volterra integral equation using differential transform method
Seihe, Hadis
Alavi, Majid
Ghadami, Fatemeh
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2013, 6 (03): : 220 - 229

← 1 2 3 4 5 →