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Anti-periodic boundary value problems for generalized Sturm-Liouville and Langevin fractional differential inclusions via Hadamard derivative

Sotiris K. Ntouyas, Suthep Suantai, Jessada Tariboon


In this paper, we study a new class of generalized Sturm-Liouville and Langevin fractional differential inclusions via Hadamard fractional derivatives with anti-periodic boundary conditions. Some new existence results for convex as well as non-convex multivalued maps are obtained by using standard fixed point theorems. Enlighten examples illustrating the obtained results are also presented.


Sturm-Liouville fractional differential inclusions; Langevin fractional differential inclusions; Caputo-type Hadamard derivative; anti-periodic boundary value problems; fixed point theorems.

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