وجود الحلول الموجبة لمسائل القیم الحدودیة لمعادلة تفاضلیة لاخطیة من الرتب الکسریة

• Main Author: Noora Omar Aga (Author)
• Format: Book
• Published: College of Education for Pure Sciences, 2020-06-01T00:00:00Z.
• Subjects: article
• Online Access: Connect to this object online.

Summary

Recently boundary value problems for differential equations of non-integral order have studied in many papers ( see [1,2] ).<br /> Zaho etal [ 1 ] studied the following boundary value problem of fractional differential equations.<br /> <br /> <br /> Where denotes the Rimann-Liouville fractional derivative equation of order . By using the lower and upper solution method and fixed point theorem.<br /> Liang and Zhang [3] studied the non-linear fractional differential boundary value problem <br /> <br /> Where is a real number . is the Rimann-Liouville fractional differential operator of order . By means of fixed point theorems , they obtained results on the existence of positive solutions for boundary value problem of fractional differential equations.<br /> In this paper , we deal with some existence of positive solution of the following non-linear fractional differential equation. <br /> <br /> Where is a real number. denotes Rimann-Liouville fractional derivative of order .<br /> Our work based on Banach contraction mapping and Krasnoel'skii fixed point theorems to investigate the existence of positive solution. <br /> Finally , we suggest studing the existence solutions for the following Integrodifferential equation with boundary value conditions<br /> <br /> <br /> Where H is a nonlinear integral operator given as

Item Description

1812-125X
2664-2530
10.33899/edusj.2019.125873.1014