Results 21 to 30 of about 868 (169)

Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions

open access: yesOpen Mathematics, 2018
In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which
Hao Xinan, Wang Huaqing
doaj   +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

Existence results to a ψ- Hilfer neutral fractional evolution equation with infinite delay

open access: yesNonautonomous Dynamical Systems, 2021
In this paper, we prove the existence and uniqueness of a mild solution to the system of ψ- Hilfer neutral fractional evolution equations with infinite delay H𝔻0αβ;ψ [x(t) − h(t, xt)] = A x(t) + f (t, x(t), xt), t ∈ [0, b], b > 0 and x(t) = ϕ(t), t ∈ (−∞,
Norouzi Fatemeh   +1 more
doaj   +1 more source

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator

open access: yesBoundary Value Problems, 2012
In this article, the author investigates the existence and multiplicity of positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator D0+βφpD0+αu(t)+f(t,u(t))=0 ...
G. Chai
semanticscholar   +1 more source

Quantum integral inequalities on finite intervals

open access: yes, 2014
In this paper, some of the most important integral inequalities of analysis are extended to quantum calculus. These include the Hölder, Hermite-Hadamard, trapezoid, Ostrowski, Cauchy-Bunyakovsky-Schwarz, Grüss, and Grüss-Čebyšev integral inequalities ...
J. Tariboon, S. Ntouyas
semanticscholar   +1 more source

Boundary value problems for fractional differential equations

open access: yesBoundary Value Problems, 2014
In this paper we study the existence of solutions of nonlinear fractional differential equations at resonance. By using the coincidence degree theory, some results on the existence of solutions are obtained. MSC: 34A08, 34B15.
Zhigang Hu, Wenbin Liu, Jiayin Liu
semanticscholar   +1 more source

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

open access: yesOpen Mathematics, 2023
In this article, we introduce and study a boundary value problem for (k,χ¯*)\left(k,{\bar{\chi }}_{* })-Hilfer generalized proportional fractional differential equation of order in an interval (1, 2], equipped with integro-multipoint nonlocal boundary ...
Samadi Ayub   +3 more
doaj   +1 more source

Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions

open access: yes, 2015
Lyapunov-type inequalities are established for a fractional differential equation under mixed boundary conditions. Using such inequalities, we obtain intervals where certain MittagLeffler functions have no real zeros.
M. Jleli, B. Samet
semanticscholar   +1 more source

On the Elzaki transform and its applications in fractional free electron laser equation

open access: yesActa Universitatis Sapientiae: Mathematica, 2019
This article is devoted to study Elzaki transform and its applications in Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative.
Singh Yudhveer   +3 more
doaj   +1 more source

Numerical approach to the controllability of fractional order impulsive differential equations

open access: yesDemonstratio Mathematica, 2020
In this manuscript, a numerical approach for the stronger concept of exact controllability (total controllability) is provided. The proposed control problem is a nonlinear fractional differential equation of order α∈(1,2]\alpha \in (1,2] with non ...
Kumar Avadhesh   +3 more
doaj   +1 more source

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