Laboratory of Fundamental and Numerical Mathematics, Department of Mathematics, Faculty of Sciences, Ferhat Abbas Setif University 1, 19000 Setif, Algeria
There are many integral transforms that are widely used to solve many problems arising in applied mathematics and engineering. The main goal of this paper is to use a new general integral transform to solve fractional differential equations with the fractional derivative in the sense of Caputo. In addition, several illustrative examples are given to demonstrate the accurateness and effectiveness of this approach. The obtained results confirm the applicability and high accuracy of the proposed approach to solving fractional diffrential equations.
Khalouta,A . (2023). A new general integral transform for solving Caputo fractional-order differential equations. International Journal of Nonlinear Analysis and Applications, 14(1), 67-78. doi: 10.22075/ijnaa.2021.23952.2641
MLA
Khalouta,A . "A new general integral transform for solving Caputo fractional-order differential equations", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 67-78. doi: 10.22075/ijnaa.2021.23952.2641
HARVARD
Khalouta A. (2023). 'A new general integral transform for solving Caputo fractional-order differential equations', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 67-78. doi: 10.22075/ijnaa.2021.23952.2641
CHICAGO
A Khalouta, "A new general integral transform for solving Caputo fractional-order differential equations," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 67-78, doi: 10.22075/ijnaa.2021.23952.2641
VANCOUVER
Khalouta A. A new general integral transform for solving Caputo fractional-order differential equations. IJNAA. 2023;14(1):67-78. doi: 10.22075/ijnaa.2021.23952.2641
International Journal of Nonlinear Analysis and Applications