Solving fractional integro-differential equations by Aboodh transform
Authors
P. Raghavendran
- Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R\(\&\)D Institute of Science and Technology, Chennai-600062, Tamil Nadu, India.
Th. Gunasekar
- Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R\(\&\)D Institute of Science and Technology, Chennai-600062, Tamil Nadu, India.
H. Balasundaram
- Department of Mathematics, Rajalakshmi Institute of Technology, Chennai-600124, Tamil Nadu, India.
Sh. S. Santra
- Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India.
D. Majumder
- Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India.
D. Baleanu
- Department of Mathematics, Faculty of Arts and Sciences, Çankaya University, Ankara, 06790 Etimesgut, Turkey.
- Instiute of Space Sciences, 077125 Magurele, Magurele-Bucharest, Romania.
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan, Republic of China.
Abstract
This study approaches some families of fractional integro-differential equations (FIDEs) using a simple fractional calculus method, which leads to several appealing consequences, including the classical Frobenius method, which is generalized. The method presented here is based mostly on certain general theorems on particular solutions of FIDEs using the Aboodh transform and binomial series extension coefficients. We additionally demonstrate techniques to solve FIDEs.
Share and Cite
ISRP Style
P. Raghavendran, Th. Gunasekar, H. Balasundaram, Sh. S. Santra, D. Majumder, D. Baleanu, Solving fractional integro-differential equations by Aboodh transform, Journal of Mathematics and Computer Science, 32 (2024), no. 3, 229--240
AMA Style
Raghavendran P., Gunasekar Th., Balasundaram H., Santra Sh. S., Majumder D., Baleanu D., Solving fractional integro-differential equations by Aboodh transform. J Math Comput SCI-JM. (2024); 32(3):229--240
Chicago/Turabian Style
Raghavendran, P., Gunasekar, Th., Balasundaram, H., Santra, Sh. S., Majumder, D., Baleanu, D.. "Solving fractional integro-differential equations by Aboodh transform." Journal of Mathematics and Computer Science, 32, no. 3 (2024): 229--240
Keywords
- Riemann-Liouville (RL)
- fractional integral
- fractional-order differential equation
- gamma function
- Mittag-Leffler function
- Wright function
- Aboodh transform of the fractional derivative
MSC
- 26A33
- 31A10
- 33C10
- 34A05
- 35K37
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