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On Cauchy problems with Caputo Hadamard fractional derivatives

open access: yes, 2016
Summary: The current work is motivated by the so-called Caputo-type modification of the Hadamard or Caputo Hadamard fractional derivative. The main aim of this paper is to study Cauchy problems for a differential equation with a left Caputo Hadamard fractional derivative in spaces of continuously differentiable functions.
Adjabi, Y.   +3 more
openaire   +2 more sources

Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative

open access: yes, 2009
Mathematics Subject Classification: 26A33, 34A37. In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. Both cases of convex and nonconvex valued right-hand side are considered.
Ait Dads, E., Benchohra, M., Hamani, S.
openaire   +1 more source

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