نتایج جستجو برای: hadamard fractional integral

تعداد نتایج: 177259  

In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators. This approach provides us with a convenient way to find a solution ...

Journal: :Inverse Problems in Science and Engineering 2021

This paper focuses on considering two inverse source problems (ISPs) for a multi-term time-fractional evolution equation with an involution term, interpolating the heat and wave equations. The fractional derivatives are defined in Caputo's sense. ISPs proved to be ill-posed sense of Hadamard. Recovering space dependent term from over-specified data given at some time constitute first ISP, while...

E. Kacar, H. Yildirim, Z. Kacar,

In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.

Journal: :Filomat 2023

The Langevin equation is a very important mathematical model in describing the random motion of particles. fractional powerful tool complex viscoelasticity. Therefore, this paper focuses on class nonlinear higher-order Hadamard with integral boundary value conditions. Firstly, we employ successive approximation and Mittag-Leffler function to transform differential into an equivalent equation. T...

In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some  inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.

Journal: :Demonstratio Mathematica 2023

Abstract The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from research point view. Currently, mathematicians are working on extending, improving, and generalizing this inequality. This article presents conticrete Hermite-Hadamard-Jensen-Mercer type in weighted unweighted forms by using idea majorization convexity together with generalized conformable fracti...

2006
ONDREJ HUTNÍK Ondrej Hutník

In the present paper we establish some integral inequalities analogous to the wellknown Hadamard inequality for a class of generalized weighted quasi-arithmetic means in integral form.

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