Results 81 to 90 of about 775 (171)

Multiple and unique nontrivial solutions for fractional differential equations with singular property and derivatives contained in the nonlinear term

Demonstratio Mathematica
In this article, a class of p-Laplacian fractional differential equations with multiple derivative terms in the nonlinearity is studied. First, the Green’s function is derived and its key properties are analyzed, enabling us to construct a suitable cone ...
Guo Limin, Zhang Bing, Li Cheng, Chen Jinyan   +3 more
doaj   +1 more source

Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations

Electronic Journal of Differential Equations, 2017
In this article, we study the existence and uniqueness of solutions for Hadamard-type sequential fractional order neutral functional differential equations.
Bashir Ahmad, Sotiris K. Ntouyas
doaj  

Existence of solutions to a fractional differential equation involving the Caputo q-derivative with boundary conditions in Banach spaces

Journal of Inequalities and Applications
Generalized boundary value problems (BVP) typically cover a wide range of equations. In this study, we focus on a generalization of Caputo-type fractional discrete differential equations that involve two or more fractional q-integrals.
Houari Bouzid, Benali Abdelkader, Louiza Tabharit, Mohammad Esmael Samei   +3 more
doaj   +1 more source

Approximate and Exact Controllability for Hilfer Fractional Stochastic Evolution Equations

Fractal and Fractional
This paper investigates the controllability of Hilfer fractional stochastic evolution equations (HFSEEs). Initially, we obtain a conclusion regarding the approximate controllability of HFSEEs by employing the Tikhonov-type regularization method and ...
Qien Li, Danfeng Luo
doaj   +1 more source

A noncompact Schauder fixed point theorem in random normed modules and its applications

Mathematische Annalen
Motivated by the randomized version of the classical Bolzano--Weierstrass theorem, in this paper we first introduce the notion of a random sequentially compact set in a random normed module and develop the related theory systematically. From these developments, we prove the corresponding Schauder fixed point theorem: let $E$ be a random normed module ...
Tiexin Guo, Yachao Wang, Hong-Kun Xu, George Xianzhi Yuan, Goong Chen   +4 more
openaire   +3 more sources

An Extension and Refinement of the Brouwer-Schauder-Tychonoff Fixed Point Theorem

In this paper, we present the Brouwer-Schauder-Tychonoff fixed point theorem on locally convex spaces as the following extension and improvement: Suppose that S is a compact star-shaped subset with respect to p in S with its convexity index alpha(p)>0. Then every continuous self-mapping f has one of the following two properties: (a) The point p is
Cheng, Lixin, Liu, Chulei, Zhang, Wen
openaire   +2 more sources

Existence and uniqueness of solutions for a singular system of higher-order nonlinear fractional differential equations with integral boundary conditions

Nonlinear Analysis, 2013
In this paper, we study the existence and uniqueness of solutions for a singular system of nonlinear fractional differential equations with integral boundary conditions.
Lin Wang, Xingqiu Zhang, Xinyi Lu
doaj  

A further generalization of the Schauder fixed point theorem

Duke Mathematical Journal, 1965
openaire   +2 more sources

A Generalization of the "Brouwer-Schauder-Tychonoff" Fixed-Point Theorem

5 ...
openaire   +2 more sources

Fixed-point topology meets fractal memory: a Kutumba-stabilized framework for nonlocal fractal-fractional dynamics. [PDF]

Sci Rep
Devi RA, Surendar R, Sweatha S, Saeed ST, Almehizia AA, Saleh MA, Merga FE.   +6 more
europepmc   +1 more source