Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Some result for Hadamard-type inequalities in quantum calculus
Get PDFIn this paper, we establish a q-analogue of Hermite-Hadamard inequalities for some convex type functions
Mild solutions for nonlocal fractional semilinear functional differential inclusions involving Caputo derivative
Get PDFIn this paper, we prove various existence results of a mild solution for a fractional nonlocal functional semilinear differential inclusion involving Caputo derivative in Banach spaces. We consider the case when the values of the orient field are convex as well as nonconvex. Moreover, we study the topological structure of solution sets. Our results extend or generalize results proved in recent papers
Some subordination and superordination results for the generalized hypergeometric functions associated with Ruscheweyh derivative
Get PDFOur purpose in this paper is to define a linear operator F_{p,q,s}[\alpha_{1},m], then applying it to obtain some results on subordination and superordination preserving properties of holomorphic multivalent functions in the open unit disc. And sandwich-type result for these holomorphic multivalent functions is also considered
Some properties of two-fold symmetric analytic functions
Get PDFIn this paper, we introduce a new class of two-fold symmetric functions analytic in the unit disc. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and inequality properties of this new class
Some properties of skew Hurwitz series
Get PDFIn this paper we show that, if R is a ring and σ an endomorphism of R, then the skew Hurwitz series ring T = (HR, σ ) is an n-clean ring if and only if R is an n-clean ring. Moreover, if R is an integral domain and a torsion-free Z-module, then T = (HR, σ ) is a Prufer domain if and only if R is a field. Also, we investigate when the ring T = (HR, σ ) is g(x)-clean, (n, g(x))-clean and a Neat ring
Subordination preserving properties associated with a class of operators
Get PDFThe purpose of this paper is to find some subordination preserving properties of analytic functions associated with a class of operators with complex parameters. Due to the compositional structure of the involved operator, we take its advantage in deducing results which involve more familiar operators, thereby, exhibiting the usefulness of the main results
On a class of controlled functional differential inclusions
Get PDFThe aim of this paper is to establish the existence of solutions and some properties of solutions set for a class of functional differential equations with causal operator under assumption that the equation satisfies the Carathéodory type condition. Also, an application for an optimal control problem is given
Computation in multivariate quaternionic polynomial ring
Get PDFIn this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring
On the solutions of fractional reaction-diffusion equations
Get PDFIn this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative. The results are derived by the application of the Laplace and Fourier transforms in compact and elegant form in terms of Mittag-Leffler function and H-function. The results obtained here are of general nature and include the results investigated earlier by many authors
On the q−derivatives of a new sequence of operators
Get PDFIn this paper we obtain moment estimates for a new sequence of q−operators very recently introduced by Aral and Gupta [1]. We obtain degree of approximation by the q−derivatives of these operators. We show that for a fixed q, these operators do not possess simultaneous approximation properties