Results 11 to 20 of about 1,294 (167)

Multiplicity solutions for a class of p-Laplacian fractional differential equations via variational methods

open access: yesOpen Mathematics, 2022
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
doaj   +1 more source

Boundary Value Methods for Caputo Fractional Differential Equations

open access: yes, 2021
This paper deals with the numerical computation and analysis for Caputo fractional differential equations (CFDEs). By combining the p-order boundary value methods (BVMs) and the m-th Lagrange interpolation, a type of extended BVMs for the CFDEs with γ ...
Yongtao Zhou
semanticscholar   +1 more source

Existence and simulation of positive solutions for m-point fractional differential equations with derivative terms

open access: yesOpen Mathematics, 2021
In this article, we investigate the existence of positive solutions for a class of mm-point fractional differential equations whose nonlinear terms involve derivatives.
Sun Wenchao   +3 more
doaj   +1 more source

Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems

open access: yesOpen Mathematics, 2021
This work intends to treat the existence of mild solutions for the Hilfer fractional hybrid differential equation (HFHDE) with linear perturbation of first and second type in partially ordered Banach spaces. First, we establish the results concerning the
Gabeleh Moosa   +3 more
doaj   +1 more source

Existence and Ulam-Hyers stability of the implicit fractional boundary value problem with ψ-Caputo fractional derivative

open access: yes, 2020
In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative.
Hanan A. Wahash   +2 more
semanticscholar   +1 more source

Chaos suppression of Fractional order Willamowski–Rössler Chemical system and its synchronization using Sliding Mode Control

open access: yesNonlinear Engineering, 2016
Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance
Rajagopal Karthikeyan   +1 more
doaj   +1 more source

All functions are locally $s$-harmonic up to a small error [PDF]

open access: yes, 2014
We show that we can approximate every function $f\in C^{k}(\bar{B_1})$ with a $s$-harmonic function in $B_1$ that vanishes outside a compact set. That is, $s$-harmonic functions are dense in $C^{k}_{\rm{loc}}$.
Dipierro, Serena   +2 more
core   +4 more sources

Numerical Computation of Exponential Functions of Nabla Fractional Calculus

open access: yes, 2022
In this article, we illustrate the asymptotic behaviour of exponential functions of nabla fractional calculus.
Jonnalagadda, Jagan Mohan
core   +1 more source

Generalized Fractional Nonlinear Birth Processes [PDF]

open access: yes, 2015
We consider here generalized fractional versions of the difference-differential equation governing the classical nonlinear birth process. Orsingher and Polito (Bernoulli 16(3):858-881, 2010) defined a fractional birth process by replacing, in its ...
BEGHIN, Luisa   +2 more
core   +1 more source

Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations [PDF]

open access: yes, 2015
The aim of the paper is to present a nontrivial and natural extension of the comparison result and the monotone iterative procedure based on upper and lower solutions, which were recently established in (Wang et al. in Appl. Math. Lett.
A Babakhani   +25 more
core   +2 more sources

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