Fractional boundary value problems with multiple orders of fractional derivatives and integrals
Date
2017-04-11
Authors
Ntouyas, Sotiris
Tariboon, Jessada
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we study a new class of boundary value problems for fractional differential equations and inclusions with multiple orders of fractional derivatives and integrals, in both fractional differential equation and boundary conditions. The Sadovski's fixed point theorem is applied in the single-valued case while, in multi-valued case, the nonlinear alternative for contractive maps is used. Some illustrative examples are also included.
Description
Keywords
Fractional differential equation, Fractional differential inclusions, Boundary value problem, Existence, Fixed point theorems
Citation
Ntouyas, S. K., & Tariboon, J. (2017). Fractional boundary value problems with multiple orders of fractional derivatives and integrals. <i>Electronic Journal of Differential Equations, 2017</i>(100), pp. 1-18.
Rights
Attribution 4.0 International