
Journal of Mathematical Analysis and Modeling
Yazarlar: Saleh Redhwan, Sadikali Shaikh
Konular:-
DOI:10.48185/jmam.v1i1.14
Anahtar Kelimeler:Implicit fractional differential equation ,Fractional derivative and fractional integral ,Fixed point theorem.
Özet: The given paper describes the implicit fractional differential equation with nonlinear integral boundary conditions in the frame of Caputo-Katugampola fractional derivative. We obtain an analogous integral equation of the given problem and prove the existence and uniqueness results of such a problem using the Banach and Krasnoselskii fixed point theorems. To show the effectiveness of the acquired results, convenient examples are presented.