Contributions aux équations aux dérivées fractionnaires conformables
Loading...
Date
2022-05
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Université de M'sila
Abstract
n this thesis, we have studied four problems of three types of fractional differential equations with
integral boundary conditions:
✓ At first, their solutions are presented in form of nonlinear integral equations by using the Green
function, which her properties are analyzed to determine the appropriate way to solve the proposed
problems.
✓ Secondly, we proved the positivity, existence and uniqueness of solutions to the proposed problems
by using some fixed theorems.
✓ Next, we give a new results concerning the stability of fractional equations in Ulam-Hyres sense
to prove the stability of solutions for proposed problems.
✓ Finally, several examples are presented to confirm the effectiveness of some utilized theorems.
Description
Keywords
Fractional differential equations, Integral boundary conditions, Fixed point theorems, Ulam-Hyers stability