Modern Scientific Press

ABSTRACT: Some classes of analytic ?????? univalent functions are introduced and the sharp upper bounds for any ?????? (real or complex) are determined.

ABSTRACT: In this paper, we consider Reduced Differential Transform Method (RDTM) for finding solution of multi-dimensional time -fractional wave equations. This paper presents a reliable technique in order to obtain the solutions for time-fractional wave equations with initial profile. The results reveal that the proposed technique is very effective, simple and straight forward and can be easily applied for other problems in mathematical physics.

ABSTRACT: Although this theory of the origin of the volatility of technology shocks, but knows the shock are disabled and not the cause. In other words, there are shocks caused the population to create fluctuations in investment per capita, per capita production, resulting in a form of this type of model is adjusted to the Solow was able to explain the cycle of our real being that of it under the title the merchant population learn cycle.

ABSTRACT: In this paper we characterize the classes (a^r_c : f_??????? ), (a^r_c : f ) and (a^r_c : f₀ ), where f_???????, f and f₀ denote respectively the spaces of almost bounded sequences, almost convergent sequences and almost convergent null sequences; where the sequence space a^r_c has been introduced and studied by Aydin and Ba?????ar.

ABSTRACT: In this paper we discuss some generalizations of the S. Bernstein??????s inequality for polynomials and its derivative.

ABSTRACT: This paper is concerned with a subclass of close to star functions in the unit disc E. We obtain the Coefficient bounds, distortion theorem, argument theorem and some invariance properties for the functions belonging to this class.

ABSTRACT: Explicit solitary wave solutions of modified Camassa-Holm equation are constructed by using Exp-function method. Numerical results are true reflection of the efficiency and reliability of the proposed algorithm.