A singular convolution kernel without pseudo-periods
نویسندگان
چکیده
منابع مشابه
Properties of a New Fractional Derivative without Singular Kernel
We introduce the fractional integral corresponding to the new concept of fractional derivative recently introduced by Caputo and Fabrizio and we study some related fractional differential equations.
متن کاملA new Definition of Fractional Derivative without Singular Kernel
In the paper, we present a new definition of fractional derivative with a smooth kernel which takes on two different representations for the temporal and spatial variable. The first works on the time variables; thus it is suitable to use the Laplace transform. The second definition is related to the spatial variables, by a non-local fractional derivative, for which it is more convenient to work...
متن کاملInterval fractional integrodifferential equations without singular kernel by fixed point in partially ordered sets
This work is devoted to the study of global solution for initial value problem of interval fractional integrodifferential equations involving Caputo-Fabrizio fractional derivative without singular kernel admitting only the existence of a lower solution or an upper solution. Our method is based on fixed point in partially ordered sets. In this study, we guaranty the existence of special kind of ...
متن کاملSingular integral equations of convolution type with Hilbert kernel and a discrete jump problem
*Correspondence: [email protected] School of Mathematical Science, Qufu Normal University, Jingxuanxi Road 57, Qufu, Shandong 273165, P.R. China Abstract One class of singular integral equations of convolution type with Hilbert kernel is studied in the space L2[–π ,π ] in the article. Such equations can be changed into either a system of discrete equations or a discrete jump problem depending o...
متن کاملAdaptive discretization of an integro-differential equation with a weakly singular convolution kernel
An integro-differential equation involving a convolution integral with a weakly singular kernel is considered. The kernel can be that of a fractional integral. The integro-differential equation is discretized using the discontinuous Galerkin method with piecewise constant basis functions. Sparse quadrature is introduced for the convolution term to overcome the problem with the growing amount of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1981
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000019383