Title of article :
On a fractional differential equation with fractional boundary conditions
Author/Authors :
Khalili ، Yasser Department of Basic Sciences - Sari Agricultural Sciences and Natural Resources University , Yadollahzadeh ، Milad Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran
Abstract :
In this article, we study a new nonlinear Langevin equation of two fractional orders with fractional boundary value conditions which is a generalization of previous Langevin equations. Based on Banach and Schauder fixed point theorems, the existence and uniqueness of solutions of this equation are investigated. Moreover, our hypotheses are simpler than similar works.
Keywords :
Fractional Langevin equation , Fractional boundary condition , Existence solution , Fixed point theorem
Journal title :
Mathematics and Computational Sciences
Journal title :
Mathematics and Computational Sciences
