Sotiris K. Ntouyas, Jessada Tariboon
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.
Submitted February 21, 2017. Published April 11, 2017.
Math Subject Classifications: 34A08, 34A12, 34A60.
Key Words: Fractional differential equation; fractional differential inclusion;
boundary value problem; existence; fixed point theorems.
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Sotiris K. Ntouyas Department of Mathematics University of Ioannina 451 10 Ioannina, Greece. email: sntouyas@uoi.gr |
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Jessada Tariboon Nonlinear Dynamic Analysis Research Center Department of Mathematics, Faculty of Applied Science King Mongkut's University of Technology North Bangkok Bangkok 10800, Thailand email: jessada.t@sci.kmutnb.ac.th |
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