Solving a class of auto-convolution Volterra integral equations via differential transform method

The aim of this paper is to solve a class of auto-convolution Volterra integral equations by the well-known differential transform method. The analytic property of solution and convergence of the method under some assumptions are discussed and some illustrative examples are given to clarify the theoretical results, accuracy and performance of the proposed method.

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Publication Details

Journal
Van Yüzüncü Yıl University Academic Data Management System
Published
2025-05-01
DOI
https://doi.org/10.22124/jmm.2025.28630.2538
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

Solving a class of auto-convolution Volterra integral equations via differential transform method

Fevzi Erdoğan, Sedaghat Shahmorad, Abolfazl Tari, Mahdi Mostafazadeh
Van Yüzüncü Yıl University Academic Data Management System
Fractional Differential Equations Solutions
article

Solving a class of auto-convolution Volterra integral equations via differential transform method

Fevzi Erdoğan, Sedaghat Shahmorad, Abolfazl Tari, Mahdi Mostafazadeh
article en

Abstract

The aim of this paper is to solve a class of auto-convolution Volterra integral equations by the well-known differential transform method. The analytic property of solution and convergence of the method under some assumptions are discussed and some illustrative examples are given to clarify the theoretical results, accuracy and performance of the proposed method.

Van Yüzüncü Yıl University Academic Data Management System
Openalex Percentile: Top 28%
Fractional Differential Equations Solutions
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Solving a class of auto-convolution Volterra integral equations via differential transform method — Fevzi Erdoğan, Sedaghat Shahmorad, et al. · Van Yüzüncü Yıl University Academic Data Management System (2025) | TGRS Research Map | TGRS