Results 41 to 50 of about 868 (169)

Simpson type quantum integral inequalities for convex functions

open access: yes, 2018
In this paper we establish some new Simpson type quantum integral inequalities for convex functions. Moreover, we obtain some inequalities for special means.
Mevlut Tunc, E. Göv, S. Balgecti
semanticscholar   +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

Forced oscillation of certain fractional differential equations

open access: yes, 2013
The paper deals with the forced oscillation of the fractional differential equation (Daqx)(t)+f1(t,x(t))=v(t)+f2(t,x(t))for t>a≥0 with the initial conditions (Daq−kx)(a)=bk (k=1,2,…,m−1) and limt→a+(Iam−qx)(t)=bm, where Daqx
Da-Xue Chen, Pei-Xin Qu, Y. Lan
semanticscholar   +1 more source

Sequential fractional differential equations and inclusions with semi-periodic and nonlocal integro-multipoint boundary conditions

open access: yesJournal of King Saud University: Science, 2019
This paper is concerned with the existence of solutions for Caputo type sequential fractional differential equations and inclusions supplemented with semi-periodic and nonlocal integro-multipoint boundary conditions involving Riemann-Liouville integral ...
Bashir Ahmad   +2 more
doaj  

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

Numerical solution of fractional Mathieu equations by using block-pulse wavelets

open access: yesJournal of Ocean Engineering and Science, 2019
In this paper, we introduce a method based on operational matrix of fractional order integration for the numerical solution of fractional Mathieu equation and then apply it in a number of cases.
P. Pirmohabbati   +3 more
doaj  

Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractional q-integro-differential equation via numerical technique

open access: yesNonlinear Engineering, 2022
This article discusses the stability results for solution of a fractional q-integro-differential problem via integral conditions. Utilizing the Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results.
Yue Xiao-Guang   +4 more
doaj   +1 more source

Lyapunov inequality for fractional differential equations with Prabhakar derivative

open access: yes, 2016
In this paper, we consider a fractional boundary value problem including the Prabhakar fractional derivative. We obtain associated Green function for this fractional boundary value problem and get a Lyapunov-type inequality for it.
S. Eshaghi, A. Ansari
semanticscholar   +1 more source

Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument

open access: yesAdvances in Difference Equations, 2011
In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument where 2 < α ≤ 3, 0 < η < 1 ...
Ntouyas SK, Wang Guotao, Zhang Lihong
doaj  

Existence, Uniqueness and Stability of Nonlinear Implicit Fractional Dynamical Equation with Impulsive condition on Time Scales

open access: yesNonautonomous Dynamical Systems, 2019
The main motive of this research article is to establish the existence, uniqueness and stability results for the non-linear fractional differential equation with impulsive condition on time scales.
Kumar Vipin, Malik Muslim
doaj   +1 more source

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