Implicit fractional differential equation with anti-periodic boundary condition involving Caputo-Katugampola type
Authors:
- Saleh S. RedhwanSaleh S. Redhwan
- Sadikali L. ShaikhSSSadikali L. Shaikh
- Mohammed S. AbdoMohammed S. Abdo
Open Access
- 1 January 2020
- journal article
- research article
- Published by American Institute of Mathematical Sciences (AIMS) in AIMS Mathematics
- Vol. 5 (4) , 3714-3730
Abstract
This paper deals with a nonlinear implicit fractional differential equation with the anti-periodic boundary condition involving the Caputo-Katugampola type. The existence and uniqueness results are established by applying the fixed point theorems of Krasnoselskii and Banach. Further, by using generalized Gronwall inequality the Ulam-Hyers stability results are proved. To demonstrate the effectiveness of the main results, appropriate examples are granted.Keywords
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