scholarly journals Two hybrid and non-hybrid k-dimensional inclusion systems via sequential fractional derivatives

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Seher Melike Aydogan ◽  
Fethiye Muge Sakar ◽  
Mostafa Fatehi ◽  
Shahram Rezapour ◽  
Hashem Parvaneh Masiha
Keyword(s):  
Differential Equations ◽  
Fractional Derivatives ◽  
Existence Of Solutions ◽  
Integral Boundary Conditions ◽  
System Of Differential Equations ◽  
Integral Boundary ◽  
Systems Of Differential Equations ◽  
Complex Phenomena ◽  
Two Hybrid ◽  
Better Than

AbstractSome complicated events can be modeled by systems of differential equations. On the other hand, inclusion systems can describe complex phenomena having some shocks better than the system of differential equations. Also, one of the interests of researchers in this field is an investigation of hybrid systems. In this paper, we study the existence of solutions for hybrid and non-hybrid k-dimensional sequential inclusion systems by considering some integral boundary conditions. In this way, we use different methods such as α-ψ contractions and the endpoint technique. Finally, we present two examples to illustrate our main results.

Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions

Open Physics ◽  
2013 ◽  
Vol 11 (10) ◽  
Author(s):  
Bashir Ahmad ◽  
Ahmed Alsaedi ◽  
Hana Al-Hutami
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Fractional Integral ◽  
Existence Of Solutions ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Fractional Differential ◽  
Sequential Fractional Differential Equations

AbstractThis paper investigates the existence of solutions for a nonlinear boundary value problem of sequential fractional differential equations with four-point nonlocal Riemann-Liouville type fractional integral boundary conditions. We apply Banach’s contraction principle and Krasnoselskii’s fixed point theorem to establish the existence of results. Some illustrative examples are also presented.

scholarly journals Employing Kuratowski measure of non-compactness for positive solutions of system of singular fractional q-differential equations with numerical effects

Filomat ◽  
2020 ◽  
Vol 34 (9) ◽  
pp. 2971-2989
Author(s):  
Mohammad Samei
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Convergence Theorem ◽  
Existence Of Solutions ◽  
Integral Boundary Conditions ◽  
Existence Results ◽  
Liouville Type ◽  
Integral Boundary ◽  
Dominated Convergence

In this work, we investigate the existence of solutions for the system of two singular fractional q-differential equations under integral boundary conditions via the concept of Caputo fractional q-derivative and fractional Riemann-Liouville type q-integral. Some new existence results are obtained by applying Krattowski measure of non-compactness. Also, the Darbo?s fixed point theorem and the Lebesgue dominated convergence theorem are the main tools in deriving our proofs. Lastly, we present an example illustrating the primary effects.

scholarly journals Existence of Solutions for Fractional Differential Equations with p-Laplacian Operator and Integral Boundary Conditions

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Jingli Xie ◽  
Lijing Duan
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Integral Boundary Conditions ◽  
Laplacian Operator ◽  
Integral Boundary ◽  
Fractional Differential ◽  
Integral Boundary Value Problems ◽  
The Fixed Point Theorem

In this paper, we investigate a class of integral boundary value problems of fractional differential equations with a p-Laplacian operator. Existence of solutions is obtained by using the fixed point theorem, and an example is given to show the applicability of our main result.

scholarly journals The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Dongxia Zan ◽  
Run Xu
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Initial Point ◽  
Integral Boundary Conditions ◽  
Existence Results ◽  
Integral Boundary ◽  
Fractional Differential System ◽  
Fractional Differential

In this paper, we investigated the system of fractional differential equations with integral boundary conditions. By using a fixed point theorem in the Banach spaces, we get the existence of solutions for the fractional differential system. By constructing iterative sequences for any given initial point in space, we can approximate this solution. As an application, an example is presented to illustrate our main results.

scholarly journals On the Existence of Solutions for Impulsive Fractional Differential Equations

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Yongliang Guan ◽  
Zengqin Zhao ◽  
Xiuli Lin
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solution ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Global Bifurcation ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Impulsive Fractional Differential Equations ◽  
Fractional Differential

We are concerned with a type of impulsive fractional differential equations attached with integral boundary conditions and get the existence of at least one positive solution via global bifurcation techniques.

Sign in / Sign up

Export Citation Format

Share Document