Volume 7 (2015), Number 2
On Subclass of Harmonic Univalent Functions Defined by Generalized Salagean Operator and Ruscheweyh Operator
Author(s): MOHAMMAD AL-KASEASBEH and MASLINA DARUS
Abstract: A subclass of complex-valued harmonic univalent function defined by generalized Salagean operator and Ruscheweyh operator is introduced. Coefficient bounds, distortion theorem, and other properties of this class are obtained.
DownloadA Mathematical Model to Extend the Theory of Relativity when the Velocities of the Mass are Larger than the Velocity of the Light c and its Possible Application in Cosmology
Author(s): MALVINA BAICA and MIRCEA CARDU
Abstract: In this paper we analyze the subject in the title accepting that the Mathematical model from the Theory of Relativity (RT) corresponding to the velocity is also valid to the case . In the same time we apply the method to solve the equations of type in their simplest form developed in [9] and [10]. Here we assign the “dual” solutions for and respectively and the “bipolar” solutions for the two forms of the Mass in the Universe called Matter (MA) and Antimatter (AM), respectively.
DownloadGlobal Existence of Solution for Reaction Diffusion Systems with a Full Matrix
Author(s): K. BOUKERRIOUA
Abstract: The aim of this paper is to study the global existence in time of solutions for some class of reaction-diffusion systems with full matrix.Our techniques are based on invariant regions and Lyapunov functional methods.Our goal is to show, under suitable assumptions, that the proposed model have a global solution for a large class of the functions and .
DownloadAn Integral Equation from Physics - A Synthesis Survey - Part II
Author(s): MARIA DOBRIȚOIU
Abstract: This part of the synthesis survey on the study of the integral equation from physics:
Approximate Solution of a Nonlinear Fractional Ordinary Differential Equation by DGJ Method
Author(s): YIYING FENG and YUE HU
Abstract: Applying the new iterative method (DGJM), which have been used to handle the nonlinear models, we investigate the approximate analytical solutions for a nonlinear fractional ordinary differential equation (FODE), where the fractional derivatives are considered in Caputo sense. On the process of dealing with nonlinear terms, we particularly employ Taylor series expansion to obtain the analytical solutions.
DownloadThe generalized -Fibonacci and Fibonacci matrix sequences
Author(s): AHMET İPEK, KAMIL ARI and RAMAZAN TÜRKMEN
Abstract: In this paper, we study the generalizations of the -Fibonacci and Lucas sequences and the -Fibonacci and Lucas matrix sequences. We present relationship between the -Fibonacci matrix and generalized Fibonacci matrix sequences. Binet’s formula for the generalized -Fibonacci matrix sequence is derived. We establish several identites for the generalized -Fibonacci and Fibonacci matrix sequence. We give some partial sum formulas for the generalized -Fibonacci and Fibonacci matrix sequence. Also, we find out relationship between the -Fibonacci matrix sequence and the famous Bernoulli numbers.
DownloadOn the determination of the eigenvalues for Airy fractional differential equation with turning point
Author(s): A. NEAMATY, B. AGHELI and R. DARZI
Abstract: The present paper reports the result of a study on eigenvalue approximation of the Airy fractional differential equation, using a new definition of fractional derivative called conformable fractional derivative. We have tried to present the approximate solution of the eigenvalue of Airy fractional differential equation (AFDE) on the right half-line and the left half-line with a turning point through applying the Adomian decomposition method. All numerical calculations in this manuscript were performed on a PC applying some programs written in Mathematica.
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