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NONLOCAL INITIAL VALUE PROBLEMS FOR HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS
Journal article   Peer reviewed

NONLOCAL INITIAL VALUE PROBLEMS FOR HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS

Bashir Ahmad and Sotiris K. Ntouyas
The Rocky Mountain journal of mathematics, Vol.48(4), pp.1043-1068
01/08/2018

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we study initial value problems of fractional differential equations and inclusions of Hadamard type, supplemented with nonlocal conditions. Some new existence and uniqueness results are obtained by using fixed point theorems for single valued and multi-valued maps. Examples illustrating the main results are also presented.

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