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- Title
OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR FIRST-ORDER CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS.
- Authors
ILIE, M.; BIAZAR, J.; AYATI, Z.
- Abstract
In this article, optimal homotopy asymptotic method is presented to solve linear and nonlinear first-order conformable fractional differential equations that, is named conformable fractional optimal homotopy asymptotic method. So conformable fractional relaxation-oscillation and Riccati differential equations as a linear and nonlinear fractional differential equations, are solved by the proposed approach, respectively. The results obtained demonstrate the efficiency of the declared method for fractional equations.
- Subjects
FRACTIONAL differential equations; NONLINEAR theories; RICCATI equation; HOMOTOPY theory; ASYMPTOTIC expansions
- Publication
Journal of Fractional Calculus & Applications, 2019, Vol 10, Issue 1, p33
- ISSN
2090-584X
- Publication type
Article