scholarly journals SOLVABILITY FOR RIEMANN-STIELTJES INTEGRAL BOUNDARY VALUE PROBLEMS OF BAGLEY-TORVIK EQUATIONS AT RESONANCE

2020 ◽  
Vol 10 (5) ◽  
pp. 1937-1953
Author(s):  
Nan Yao ◽  
◽  
Xiping Liu ◽  
Mei Jia
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Stieltjes Integral ◽  
Integral Boundary ◽  
At Resonance ◽  
Integral Boundary Value Problems

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.

scholarly journals Solvability of integral boundary value problems at resonance in $R^{n}$

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Shiying Song ◽  
Shuman Meng ◽  
Yujun Cui
Keyword(s):  
Differential Equation ◽  
Boundary Value Problems ◽  
Resonance Condition ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Integral Boundary ◽  
At Resonance ◽  
Matrix Diagonalization ◽  
Integral Boundary Value Problems

Abstract Under a resonance condition involving integral boundary value problems for a second-order nonlinear differential equation in $\mathbb{R}^{n}$ R n , we show its solvability by using the coincidence degree theory of Mawhin and the theory of matrix diagonalization in linear algebra.

scholarly journals Existence of solutions for Erdélyi–Kober fractional integral boundary value problems with $p ( t )$-Laplacian operator

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiaohui Shen ◽  
Tengfei Shen
Keyword(s):  
Boundary Value Problems ◽  
Fractional Integral ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Laplacian Operator ◽  
Integral Boundary ◽  
At Resonance ◽  
Integral Boundary Value Problems

Abstract This paper aims to consider the solvability for Erdélyi–Kober fractional integral boundary value problems with $p ( t )$ p ( t ) -Laplacian operator at resonance. By employing the coincidence degree method, some new results on the existence of solutions are acquired.

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.

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