Results 21 to 30 of about 1,330 (174)

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   +1 more source

Coupled system of a fractional order differential equations with weighted initial conditions

open access: yesOpen Mathematics, 2019
Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A.   +1 more
doaj   +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

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

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

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

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

Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection [PDF]

open access: yes, 2018
A human respiratory syncytial virus surveillance system was implemented in Florida in 1999, to support clinical decision-making for prophylaxis of premature newborns. Recently, a local periodic SEIRS mathematical model was proposed in [Stat. Optim.
Rosa, Silverio, Torres, Delfim F. M.
core   +2 more sources

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

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

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