Displaying similar documents to “On a Class of Fractional Type Integral Equations in Variable Exponent Spaces”

Weighted norm inequalities for multilinear fractional operators on Morrey spaces

Takeshi Iida, Enji Sato, Yoshihiro Sawano, Hitoshi Tanaka (2011)

Studia Mathematica

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A weighted theory describing Morrey boundedness of fractional integral operators and fractional maximal operators is developed. A new class of weights adapted to Morrey spaces is proposed and a passage to the multilinear cases is covered.

Some fractional integral formulas for the Mittag-Leffler type function with four parameters

Praveen Agarwal, Juan J. Nieto (2015)

Open Mathematics

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In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.

Mixed Fractional Integration Operators in Mixed Weighted Hölder Spaces

Mamatov, Tulkin, Samko, Stefan (2010)

Fractional Calculus and Applied Analysis

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MSC 2010: 26A33 We study mixed Riemann-Liouville integrals of functions of two variables in Hölder spaces of different orders in each variables. We consider Hölder spaces defined both by first order differences in each variable and also by the mixed second order difference, the main interest being in the evaluation of the latter for the mixed fractional integral in both the cases where the density of the integral belongs to the Hölder class defined by usual or mixed differences....

On fractional differentiation and integration on spaces of homogeneous type.

A. Eduardo Gatto, Carlos Segovia, Stephen Vági (1996)

Revista Matemática Iberoamericana

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In this paper we define derivatives of fractional order on spaces of homogeneous type by generalizing a classical formula for the fractional powers of the Laplacean [S1], [S2], [SZ] and introducing suitable quasidistances related to an approximation of the identity. We define integration of fractional order as in [GV] but using quasidistances related to the approximation of the identity mentioned before. We show that these operators act on Lipschitz spaces as in the classical...

Duplication in a model of rock fracture with fractional derivative without singular kernel

Emile F. Doungmo Goufo, Morgan Kamga Pene, Jeanine N. Mwambakana (2015)

Open Mathematics

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We provide a mathematical analysis of a break-up model with the newly developed Caputo-Fabrizio fractional order derivative with no singular kernel, modeling rock fracture in the ecosystem. Recall that rock fractures play an important role in ecological and geological events, such as groundwater contamination, earthquakes and volcanic eruptions. Hence, in the theory of rock division, especially in eco-geology, open problems like phenomenon of shattering, which remains partially unexplained...