DSpace Collection: 2009
http://hdl.handle.net/10525/1247
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On Hankel Transform of Generalized Mathieu Series
http://hdl.handle.net/10525/1308
Title: On Hankel Transform of Generalized Mathieu Series<br/><br/>Authors: Tomovski, Živorad<br/><br/>Abstract: By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general familiesof Mathieu type series. These results generalize the corresponding ones onthe Fourier transforms of Mathieu type series, obtained recently by Elezovicet al. [4], Tomovski [19] and Tomovski and Vu Kim Tuan [20].<br/><br/>Description: Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20A Note on Multipliers for Integrable Boehmians
http://hdl.handle.net/10525/1307
Title: A Note on Multipliers for Integrable Boehmians<br/><br/>Authors: Nemzer, Dennis<br/><br/>Abstract: The product of an entire function satisfying a growth condition at infinity and an integrable Boehmian is defined. Properties of this product are investigated.<br/><br/>Description: 2000 Mathematics Subject Classification: 44A40, 42A38, 46F05Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation
http://hdl.handle.net/10525/1306
Title: Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation<br/><br/>Authors: Darwish, Mohamed; Henderson, Johnny<br/><br/>Abstract: We study the solvability of a perturbed quadratic integral equation offractional order with linear modification of the argument. This equation isconsidered in the Banach space of real functions which are defined, boundedand continuous on an unbounded interval. Moreover, we will obtain someasymptotic characterization of solutions. Finally, we give an example toillustrate our abstract results.<br/><br/>Description: Mathematics Subject Classification: 45G10, 45M99, 47H09Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities
http://hdl.handle.net/10525/1305
Title: Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities<br/><br/>Authors: I. Gil’, Michael<br/><br/>Abstract: We derive bounds for the norms of the fractional powers of operators with compact Hermitian components, and operators having compact inverses in a separable Hilbert space. Moreover, for these operators, as well as for dissipative operators, the constants in the moment inequalities are established.<br/><br/>Description: Mathematics Subject Classification: 47A56, 47A57,47A63Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation
http://hdl.handle.net/10525/1304
Title: Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation<br/><br/>Authors: Cipriano, F.; Ouerdiane, H.; Vilela Mendes, R.<br/><br/>Abstract: A stochastic solution is constructed for a fractional generalization ofthe KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution usesa fractional generalization of the branching exponential process and propagation processes which are spectral integrals of Levy processes.<br/><br/>Description: Mathematics Subject Classification: 26A33, 76M35, 82B31On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials
http://hdl.handle.net/10525/1303
Title: On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials<br/><br/>Authors: Guliyev, Emin<br/><br/>Abstract: In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ.<br/><br/>Description: Mathematics Subject Classification: Primary 42B20, 42B25, 42B35Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative
http://hdl.handle.net/10525/1302
Title: Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative<br/><br/>Authors: Ait Dads, E.; Benchohra, M.; Hamani, S.<br/><br/>Abstract: In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differentialinclusions involving the Caputo fractional derivative. Both cases of convex and nonconvex valued right-hand side are considered. The topologicalstructure of the set of solutions is also considered.<br/><br/>Description: Mathematics Subject Classification: 26A33, 34A37.Nonexistence Results of Solutions of Semilinear Differential Inequalities with Temperal Fractional Derivative on the Heinsenberg Group
http://hdl.handle.net/10525/1301
Title: Nonexistence Results of Solutions of Semilinear Differential Inequalities with Temperal Fractional Derivative on the Heinsenberg Group<br/><br/>Authors: Haouam, K.; Sfaxi, M.<br/><br/>Abstract: Denoting by Dα0|t the time-fractional derivative of order α (α ∈ (0, 1)) in the sense of Caputo, and by ∆H the Laplacian operator on the (2N + 1) - dimensional Heisenberg group H^N, we prove some nonexistence results for solutions to problems of the typeDα0|tu − ∆H(au) >= |u|^p,Dα0|tu − ∆H(au) >= |v|^p,Dδ0|tv − ∆H(bv) >= |u|^q,in H^N × R+ , with a, b ∈ L ∞ (H^N × R+).For α = 1 (and δ = 1 in the case of two inequalities), we retrieve theresults obtained by Pohozaev-Véron [10] and El Hamidi-Kirane [3] corresponding, respectively, to the parabolic inequalities and parabolic system.<br/><br/>Description: 2000 Mathematics Subject Classification: 26A33, 33C60, 44A15, 35K55