Results 71 to 80 of about 2,247 (183)

Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

Advances in Difference Equations, 2011
In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
doaj  

Tauberian theorems for distributions in the Lizorkin spaces [PDF]

arXiv, 2005
In this paper some multidimensional Tauberian theorems for the Lizorkin distributions (without restriction on the support) are proved. Tauberian theorems of this type are connected with the Riesz fractional operators.
arxiv  

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

Acta 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, Gill Vinod, Kundu Sunil, Kumar Devendra   +3 more
doaj   +1 more source

EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

International Journal of Apllied Mathematics, 2018
In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential equation.
Ahmed A. Hamoud, K. Ghadle, M. Issa, Giniswamy Giniswamy   +3 more
semanticscholar   +1 more source

Fractional natural decomposition method for solving a certain class of nonlinear time-fractional wave-like equations with variable coefficients

Acta Universitatis Sapientiae: Mathematica, 2019
In this paper, we propose a new approximate method, namely fractional natural decomposition method (FNDM) in order to solve a certain class of nonlinear time-fractional wave-like equations with variable coefficients.
Khalouta Ali, Kadem Abdelouahab
doaj   +1 more source

Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation

Acta Universitatis Sapientiae: Mathematica, 2020
In this paper we establish some trapezoid type inequalities for the Riemann-Liouville fractional integrals of functions of bounded variation and of Hölder continuous functions. Applications for the g-mean of two numbers are provided as well.
Dragomir Silvestru Sever
doaj   +1 more source

Nabla Discrete fractional Calculus and Nabla Inequalities [PDF]

arXiv, 2009
Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders. Then we derive related discrete nabla fractional Opial, Ostrowski, Poincare and Sobolev type inequalities.
arxiv  

Ostrowski type fractional integral inequalities for MT-convex functions

, 2015
Some inequalities of Ostrowski type for MT-convex functions via fractional integrals are obtained. These results not only generalize those of [25], but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.
Wenjun Liu
semanticscholar   +1 more source

Integral equations, fractional calculus and shift operator [PDF]

arXiv, 2010
We present an extension of a previously developed method employing the formalism of the fractional derivatives to solve new classes of integral equations. This method uses different forms of integral operators that generalizes the exponential shift operator.
arxiv  

Numerical Chaos in a Fractional Order Logistic Map [PDF]

arXiv, 2010
In this paper we investigate a fractional order logistic map and its discrete time dynamics. We show some basic properties of the fractional logistic map and numerically study its period-doubling route to chaos.
arxiv