Results 161 to 169 of about 868 (169)

Existence Result to a Kirchhoff ψ-Hilfer Fractional Equations with p-Laplacian Operator Via Nehari Method

2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
The goal of this work is to prove the existence of multiple solutions of the following Kirchhoff equation with $\psi$-Hilfer fractional derivative involving p-Laplacian operator, given by $(P) \begin{cases}\left(a+\left.\left.b \int_0^T\right|_0 D_t ...
S. Horrigue, M. Alsulami, Bayan Abduallah Alsaeedi   +2 more
semanticscholar   +1 more source

The ground states for the non-cooperative autonomous systems involving the fractional Laplacian

, 2022
The aim of this paper is to study the the following non-cooperative autonomous systems involving the fractional Laplacian(−∆)su + λu = g(v), in RN,(−∆)sv + λv = f(u), in RN,where s ∈ (0, 1), N > 2s, λ > 0, (−∆)s is the fractional Laplacian and f and g ...
Suhong Li, Limeng Wu, Shiqian He, Lingmin Zhang   +3 more
semanticscholar   +1 more source

Existence and uniqueness solutions for nonlinear fractional differential equations with fractional integral boundary conditions

Journal of Interdisciplinary Mathematics, 2021
The theory of Schuder fixed point and Banach contraction theorems are used to explain the behavior of solution for differential equation of fractional order Î(2, 3] b with fractional integral limit conditions given by = < < = = I = ( , ( )), 0 , (0) (0 ...
N. Abdul-Razaq, H. S. Mohammed, N. L. Housen   +2 more
semanticscholar   +1 more source

On singular φ−Laplacian BVPs of nonlinear fractional differential equation

Studia Universitatis Babeş-Bolyai. Mathematica
This paper investigates the existence of multiple positive solutions for a class of φ−Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions.
Bahia Temar, O. Saifi, S. Djebali
semanticscholar   +1 more source

Monotone iterative technique for a sequential delta-Caputo fractional differential equations with nonlinear boundary conditions

Studia Universitatis Babeş-Bolyai. Mathematica
. In this article, we discuss the existence of extremal solutions for a class of nonlinear sequential δ–Caputo fractional differential equations involving nonlinear boundary conditions. Our results are founded on advanced functional analysis methods.
Z. Baitiche, C. Derbazi, A. Salim, M. Benchohra   +3 more
semanticscholar   +1 more source

Simpson Type Estimations for Convex Functions via Quantum Calculus

Annals of Mathematics and Physics
We first establish a new identity including quantum integrals and quantum numbers via q -differentiable functions. After that, with the help of this equality, a Simpson-type inequality for functions whose quantum derivatives in modulus are convex is ...
Erden Samet, Alp Necmettin, Iftikhar Sabah   +2 more
semanticscholar   +1 more source

On the nonlinear sequential ψ-Hilfer fractional differential equations

, 2020
In this paper, we discuss the existence and uniqueness of solutions for a class of nonlinear sequential ψ-Hilfer fractional differential equations. This investigation is carried out by means of Schaefer’s fixed point theorem and modified version of ...
M. Abbas
semanticscholar   +1 more source

Existence, regularity and representation of solutions of time fractional diffusion equations

Advances in Differential Equations, 2016
Using regularized resolvent families, we investigate the solvability of the fractional order inhomogeneous Cauchy problem Dt u(t) = Au(t) + f(t), t > 0, 0 < α ≤ 1, where Dt is the Caputo fractional derivative of order α, A a closed linear operator on ...
V. Keyantuo, C. Lizama, M. Warma
semanticscholar   +1 more source

Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions

Boundary Value Problems
Hamid Lmou, Samira Zerbib, Sina Etemad, İbrahim Avcı, Raaid Alubady   +4 more
semanticscholar   +1 more source