An approach to solve nonlinear Caputo-Fabrizio fractional differential equations
Authors
R. AlAhmad
- Department of Mathematics, Yarmouk University, Irbid 21163, Jordan.
Abstract
This paper focuses on developing an approach for solving nonlinear Caputo-Fabrizio fractional differential equations (FDEs). In this approach, we use the exactness and integrating factors to solve nonlinear Caputo-Fabrizio FDE. The FDE is transformed to an ODE, and then the method of characteristics will generate an integrating factor for this ODE. Afterwards, using the exactness of differential equations concept, implicit analytical solutions of such equations are presented. We present an example to demonstrate how this approach facilitates the solution of equations that are generalized to results in previous studies.
Share and Cite
ISRP Style
R. AlAhmad, An approach to solve nonlinear Caputo-Fabrizio fractional differential equations, Journal of Mathematics and Computer Science, 40 (2026), no. 4, 542--547
AMA Style
AlAhmad R., An approach to solve nonlinear Caputo-Fabrizio fractional differential equations. J Math Comput SCI-JM. (2026); 40(4):542--547
Chicago/Turabian Style
AlAhmad, R.. "An approach to solve nonlinear Caputo-Fabrizio fractional differential equations." Journal of Mathematics and Computer Science, 40, no. 4 (2026): 542--547
Keywords
- Caputo-Fabrizo fractional differential equations
- exactness of ODEs
- integrating factors
- nonlinear differential equations
MSC
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