scholarly journals Existence of solutions for integral boundary value problems of mixed fractional differential equations under resonance

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Shiying Song ◽  
Yujun Cui
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Integral Boundary ◽  
Fractional Differential ◽  
Integral Boundary Value Problems

scholarly journals The Existence of Solutions to Integral Boundary Value Problems of Fractional Differential Equations at Resonance

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Yumei Zou ◽  
Guoping He
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Integral Boundary ◽  
At Resonance ◽  
Fractional Differential ◽  
Integral Boundary Value Problems

This paper deals with the integral boundary value problems of fractional differential equations at resonance. By Mawhin’s coincidence degree theory, we present some new results on the existence of solutions for a class of differential equations of fractional order with integral boundary conditions at resonance. An example is also included to illustrate the main results.

Existence and uniqueness results for Riemann–Stieltjes integral boundary value problems of nonlinear implicit Hadamard fractional differential equations

2021 ◽  
Author(s):  
Mohamed I. Abbas
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Stieltjes Integral ◽  
Integral Boundary ◽  
Hadamard Fractional Differential Equations ◽  
Fractional Differential ◽  
Integral Boundary Value Problems

In this paper, we study the existence and uniqueness of solutions for Riemann–Stieltjes integral boundary value problems of nonlinear implicit Hadamard fractional differential equations. The investigation of the main results depends on Schauder’s fixed point theorem and Banach’s contraction principle. An illustrative example is given to show the applicability of theoretical results.

Sign in / Sign up

Export Citation Format

Share Document