scholarly journals EXISTENCE OF 3-WEAK SOLUTIONS FOR A NEW CLASS OF AN OVERDETERMINED SYSTEM OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

Fractals ◽  
2020 ◽  
Vol 28 (08) ◽  
pp. 2040036 ◽  
Author(s):  
SALAH BOULAARAS ◽  
RAFIK GUEFAIFIA ◽  
ASMA ALHARBI ◽  
BAHRI CHERIF
Keyword(s):  
Differential Equations ◽  
Variational Methods ◽  
Critical Point ◽  
Differential System ◽  
Point Theorem ◽  
Weak Solutions ◽  
Overdetermined System ◽  
Critical Point Theorem ◽  
New Class

The paper deals with the existence of three different weak solutions of [Formula: see text] -Laplacian fractional for an overdetermined nonlinear fractional partial Fredholm–Volterra integro-differential system by using variational methods combined with a critical point theorem due to Bonanno and Marano.

The Multiplicity of Solutions for a Class of Nonlinear Fractional Dirichlet Boundary Value Problems with p-Laplacian Type via Variational Approach

2019 ◽  
Vol 20 (3-4) ◽  
pp. 361-371
Author(s):  
Dongping Li ◽  
Fangqi Chen ◽  
Yukun An
Keyword(s):  
Variational Methods ◽  
Boundary Value Problems ◽  
Critical Point ◽  
Point Theorem ◽  
Weak Solutions ◽  
Variational Approach ◽  
Dirichlet Boundary ◽  
Coupled Systems ◽  
Critical Point Theorem ◽  
Two Parameters

AbstractIn this paper, by using variational methods and a critical point theorem due to Bonanno and Marano, the existence of at least three weak solutions is obtained for a class of p-Laplacian type nonlinear fractional coupled systems depending on two parameters. Two examples are given to illustrate the applications of our main results.

scholarly journals Existence of Weak Solutions for a New Class of Fractional p-Laplacian Boundary Value Systems

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 475 ◽  
Author(s):  
Fares Kamache ◽  
Rafik Guefaifia ◽  
Salah Boulaaras ◽  
Asma Alharbi
Keyword(s):  
Variational Methods ◽  
Critical Point ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Boundary Value ◽  
Point Theory ◽  
Value Systems ◽  
Existence Of Weak Solutions ◽  
New Class ◽  
Two Parameters

In this paper, at least three weak solutions were obtained for a new class of dual non-linear dual-Laplace systems according to two parameters by using variational methods combined with a critical point theory due to Bonano and Marano. Two examples are given to illustrate our main results applications.

Infinitely many solutions for a class of fourth-order impulsive differential equations

2019 ◽  
Vol 10 (1) ◽  
pp. 7-16
Author(s):  
Saeid Shokooh ◽  
Ghasem A. Afrouzi
Keyword(s):  
Differential Equations ◽  
Critical Point ◽  
Point Theorem ◽  
Fourth Order ◽  
Impulsive Differential Equations ◽  
Infinitely Many Solutions ◽  
Critical Point Theorem

AbstractIn this paper, by employing a critical point theorem, we establish the existence of infinitely many solutions for fourth-order impulsive differential equations depending on two real parameters.

scholarly journals On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Fares Kamache ◽  
Salah Mahmoud Boulaaras ◽  
Rafik Guefaifia ◽  
Nguyen Thanh Chung ◽  
Bahri Belkacem Cherif ◽  
...  
Keyword(s):  
Variational Methods ◽  
Weak Solutions ◽  
Variational Approach ◽  
Fractional Derivatives ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Value Systems ◽  
Critical Point Theorem ◽  
New Class ◽  
Left And Right

This paper deals with the existence of solutions for a new class of nonlinear fractional boundary value systems involving the left and right Riemann-Liouville fractional derivatives. More precisely, we establish the existence of at least three weak solutions for the problem using variational methods combined with the critical point theorem due to Bonano and Marano. In addition, some examples in ℝ 3 and ℝ 4 are given to illustrate the theoritical results.

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