Existence of Solutions for Boundary Value Problem of Non-linear Integro-differential Equations of Fractional Order

2019 ◽  
Vol 8 (1) ◽  
pp. 59-72
Author(s):  
J. Kavitha ◽  
V. Sadhasivam
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Order ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Non Linear

L 1-solutions of the boundary value problem for implicit fractional order differential equations

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Benoumran Telli ◽  
Mohammed Said Souid
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Order ◽  
Point Theorem ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Banach Contraction ◽  
The Banach Contraction Principle

Abstract The aim of this paper is to present new results on the existence of solutions for a class of the boundary value problem for fractional order implicit differential equations involving the Caputo fractional derivative. Our results are based on Schauder’s fixed point theorem and the Banach contraction principle fixed point theorem.

Existence of solutions for nonlinear fractional order p-Laplacian differential equations via critical point theory

2019 ◽  
Vol 22 (4) ◽  
pp. 945-967
Author(s):  
Nemat Nyamoradi ◽  
Stepan Tersian
Keyword(s):  
Differential Equations ◽  
Variational Method ◽  
Boundary Value Problem ◽  
Critical Point ◽  
Fractional Order ◽  
Critical Point Theory ◽  
Existence Of Solutions ◽  
Point Theory ◽  
Fractional Boundary Value Problem ◽  
New Criteria

Abstract In this paper, we study the existence of solutions for a class of p-Laplacian fractional boundary value problem. We give some new criteria for the existence of solutions of considered problem. Critical point theory and variational method are applied.

scholarly journals Solutions of a multi-point boundary value problem for higher-order differential equations at resonance (III)

2005 ◽  
Vol 36 (2) ◽  
pp. 119-130 ◽  
Author(s):  
Yuji Liu ◽  
Weigao Ge
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Higher Order ◽  
Point Boundary ◽  
At Resonance ◽  
Higher Order Differential Equations

In this paper, we are concerned with the existence of solutions of the following multi-point boundary value problem consisting of the higher-order differential equations$ x^{(n)}(t)=f(t,x(t),x'(t),\cdots,x^{(n-1)}(t))+e(t),\;\;0

scholarly journals Existence of solutions for a fractional-order boundary value problem

2020 ◽  
Vol 72 (12) ◽  
pp. 1651-1662
Author(s):  
I. Y. Karaca ◽  
D. Oz
Keyword(s):  
Fixed Point ◽  
Boundary Value Problem ◽  
Fractional Order ◽  
Existence Of Solutions ◽  
Boundary Value

UDC 517.9 We investigate the existence of solutions for a fractional-order boundary-value problem by using some fixed point theorems.As applications, examples are given to illustrate the main results.

scholarly journals Some Antiperiodic Boundary Value Problem for Nonlinear Fractional Impulsive Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Xianghu Liu ◽  
Yanfang Li
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Derivative ◽  
Existence Of Solutions ◽  
Integral Formula ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
Uniqueness Of Solutions ◽  
Liouville Fractional Derivative

This paper is concerned with the sufficient conditions for the existence of solutions for a class of generalized antiperiodic boundary value problem for nonlinear fractional impulsive differential equations involving the Riemann-Liouville fractional derivative. Firstly, we introduce the fractional calculus and give the generalized R-L fractional integral formula of R-L fractional derivative involving impulsive. Secondly, the sufficient condition for the existence and uniqueness of solutions is presented. Finally, we give some examples to illustrate our main results.

A two point boundary value problem for neutral functional differential equations

1983 ◽  
Vol 94 (3-4) ◽  
pp. 331-338
Author(s):  
Y. G. Sficas ◽  
S. K. Ntouyas
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Shooting Method ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Point Boundary ◽  
Neutral Functional Differential Equations ◽  
Functional Differential ◽  
Image Position

SynopsisThis paper is concerned with the existence of solutions of a two point boundary value problem for neutral functional differential equations. We consider the problemwhere M and N are n × n matrices. This is examined by using the “shooting method”. Also, an example is given to illustrate how our result can be applied to yield the existence of solutions of a periodic boundary value problem.

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