الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
type calculus, namely, the Hadamard-type fractional calculus which goes back to the work of Hadamard in 1892. In the said subject, the fractional integrals of a Lebesgue integrable
functions is one of the singular operators, where the kernel of the integral contains logarithmic function of arbitrary exponent. Although the Hadamard-type fractional calculus is an old topic, the interest in this type of calculus has been rising over and it is not yet well studied and much work is needed to be done. For this reason, in the following pages we restrict our attention to the Hadamard-type fractional calculus: Indeed, the aim of this thesis is two-fold. In the one hand, after recalling (just to mention) the de nition and the properties of the fractional-type di erential and integral operator in Orlicz spaces, we investigate the existence of continuous solutions to some quadratic-type fractional integral equations involving the Hadamard fractional operators. On the other hand, in order to encompass the full scope of our investigations, we consider the Hadamard-type fractional boundary value problems in both real and abstract spaces. Of course, one of the main tools utilities in our considerations is the measure of noncompactness and the classical xed point theorems.