Application of the sumudu transform to some equations with fractional derivatives
1Department of Mathematics, Siirt, Faculty of Art and Science, Siirt University, 56100, Türkiye;Department of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATS, Chennai, Tamilnadu, 600025, India
2Department of Mathematics, Siirt, Faculty of Art and Science, Siirt University, 56100, Türkiye
2Department of Mathematics, Siirt, Faculty of Art and Science, Siirt University, 56100, Türkiye
Sigma J Eng Nat Sci 2023; 41(6): 1132-1143 DOI: 10.14744/sigma.2023.00137
Abstract
The aim of the article is to obtain the exact solutions of the linear fractional differential equations by the integral transforms. Exact solutions of the equations with power-law, exponential-decay and Mittag-Leffler kernels have been obtained by the Sumudu transform. We demonstrate some simulations to show the effect of the proposed transforms.
Keywords: Fractional Differential Equations, Sumudu Transform, Inverse Sumudu Transform
