Farid Chabane Under direction of Maamar Benbachir,
Abstract
The fractional differential equations with p-Laplacien operator (FDEswP-L ) appear as a natural description of observed evolution phenomena in various scientific areas such as physics, engineering, medicine, electrochemistry, control theory, etc. The efficiency of these equations in the modeling of many real-world problems motivated a lot of researchers to investigate their quantitative and qualitative aspects. The aim of this thesis is to contribute and give some existence results for various classes of boundary value problems for nonlinear fractional differential equations with p-Laplacien operator in chosen Banach Spaces. For this purpose, the technique used is to reduce the study of our problem to the research of a fixed point of an integral operator. The obtained results are based on some standard fixed point theorems. We have also provided a illustrative example to each of our considered problems to show the validity of conditions and justify the efficiency of our established results. Here we investigate two types of such equations in Banach spaces