Results 71 to 80 of about 1,014 (157)

Using Shehu integral transform to solve fractional order Caputo type initial value problems

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2019
In the present research analysis, linear fractional order ordinary differential equations with some defined condition (s) have been solved under the Caputo differential operator having order α > 0 via the Shehu integral transform technique.
S. Qureshi, Prem Kumar
semanticscholar   +1 more source

Boundary value problem with fractional p-Laplacian operator

open access: yesAdvances in Nonlinear Analysis, 2016
The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
doaj   +1 more source

A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

open access: yesOpen Mathematics, 2016
In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with
Eghbali Nasrin   +2 more
doaj   +1 more source

On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators

open access: yes, 2016
In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the ...
S. Ntouyas, P. Agarwal, J. Tariboon
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

Solution of nonlinear Langevin equations involving Hilfer-Hadamard fractional order derivatives and variable coefficients

open access: yesDemonstratio Mathematica
This study innovates a novel technique of the nonlinear fractional Langevin equation of Hilfer-Hadamard type, incorporating an initial condition. The research demonstrates that this problem can be reformulated as an integral equation featuring a Mittag ...
Wang Huiwen, Li Fang
doaj   +1 more source

Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique

open access: yesKuwait Journal of Science
A combined spectral matrix collocation strategy is presented to solve the time-dependent nonlinear Burgers–Fisher equation pertaining to various important physical mechanisms such as advection, diffusion, and logistic reaction.
Mohammad Izadi, Hari Mohan Srivastava
doaj   +1 more source

Analysis of RLC multi-term fractional boundary value problems

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
This paper addresses the existence of solutions for a boundary value problem characterized by a fractional differential equation involving a multi-term formulation of the Riemann-Liouville-Caputo derivative.
Adoui Ahlem   +2 more
doaj   +1 more source

New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

open access: yesDemonstratio Mathematica
In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized hh-preinvex functions is obtained.
Sun Wenbing, Wan Haiyang
doaj   +1 more source

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