


Paper's Title:
Fractional class of analytic functions Defined Using qDifferential Operator
Author(s):
K . R. Karthikeyan, Musthafa Ibrahim and S. Srinivasan
Department of Mathematics and
Statistics,
Caledonian College of Engineering, Muscat,
Sultanate of Oman.
Email: kr_karthikeyan1979@yahoo.com
College of Engineering,
University of Buraimi, Al Buraimi,
Sultanate of Oman.
Email: musthafa.ibrahim@gmail.com
Department of Mathematics, Presidency
College (Autonomous),
Chennai600005, Tamilnadu,
India.
Abstract:
We define a qdifferential fractional operator, which generalizes Salagean and Ruscheweyh differential operators. We introduce and study a new class of analytic functions involving qdifferential fractional operator. We also determine the necessary and sufficient conditions for functions to be in the class. Further, we obtain the coefficient estimates, extreme points, growth and distortion bounds.
Paper's Title:
Analysis of the Dynamic Response of the Soilpile Behavioral Model Under Lateral Load
Author(s):
Ibrahima Mbaye, Mamadou Diop, Aliou Sonko and Malick Ba
University of Thies,
Department of Mathematics, Bp 967 Thies,
Senegal.
Email: imbaye@univthies.sn
mamadou.diop@univthies.sn
aliousonko59@gmail.com
mmalickba@hotmail.fr
URL: https://www.univthies.sn
Abstract:
This work aims to extend and improve our previous study on mathematical and numerical analysis of stationary Pasternak model. In this paper a dynamic response of Pasternak model is considered. On the one hand we establish the existence and uniqueness of the solution by using the LaxMilgram theorem and the spectral theory thus the existence of a Hilbert basis is shown and the spectral decomposition of any solution of the problem can be established and on the other hand the finite element method is used to determinate the numerical results. Furthermore, the influence of soil parameters G_{p} and K_{p} on the displacement of the pious is studied numerically at any time t_{n}.
Paper's Title:
Ostrowski Type Inequalities for Lebesgue Integral: a Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
http://rgmia.org/dragomir
Abstract:
The main aim of this survey is to present recent results concerning Ostrowski type inequalities for the Lebesgue integral of various classes of complex and realvalued functions. The survey is intended for use by both researchers in various fields of Classical and Modern Analysis and Mathematical Inequalities and their Applications, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.
Paper's Title:
Existence Results for Perturbed Fractional Differential Inclusions
Author(s):
Y.K. Chang
Department of Mathematics,
Lanzhou Jiaotong University, Lanzhou, Gansu 730070, People's
Republic of China
lzchangyk@163.com
Abstract:
This paper is mainly concerned with the following fractional differential inclusions with boundary condition
A sufficient condition is established for the existence of solutions of the above problem by using a fixed point theorem for multivalued maps due to Dhage. Our result is proved under the mixed generalized Lipschitz and Carathéodory conditions.
Paper's Title:
Some Properties on a Class of pvalent Functions Involving Generalized Differential Operator
Author(s):
A. T. Yousef, Z. Salleh and T. AlHawary
Department of Mathematics,
Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia
Terengganu,
21030 Kuala Nerus, Terengganu,
Malaysia.
Email: abduljabaryousef@gmail.com,
zabidin@umt.edu.my
Department of Applied Science,
Ajloun College, AlBalqa Applied University,
Ajloun 26816,
Jordan.
Email: tariq_amh@yahoo.com
Abstract:
This paper aiming to introduce a new differential operator in the open unit disc We then, introduce a new subclass of analytic function Moreover, we discuss coefficient estimates, growth and distortion theorems, and inclusion properties for the functions belonging to the class
Paper's Title:
Multistage Analytical Approximate Solution of QuasiLinear Differential Algebraic System of Index Two
Author(s):
Ibrahim M. Albak, F. A. Abdullah^{*} and Zarita Zainuddin
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM, Penang,
Malaysia.
Email: ibra13975@gmail.com,
farahaini@usm.my,
zarita@usm.my
Abstract:
In this paper, a new Multistage Transform Method (MSDTM) has been proposed by utilizing a wellknown transformation technique, the Differential Transform Method (DTM), to solve Differential Algebraic Equations (DAEs) with index 2. The advantage of the proposed scheme is that it does not require an index reduction and extends the convergence domain of the solution. Some examples for various types of problems are carried out to show the ability of MSDTM in solving DAEs. The results obtained are in good agreement with the existing literature which demonstrates the effectiveness and efficiency of the proposed method.
Paper's Title:
An Efficient Modification of Differential Transform Method for Solving Integral and Integrodifferential Equations
Author(s):
S. AlAhmad, Ibrahim Mohammed Sulaiman^{*}, and M. Mamat
Faculty of Informatics and Computing,
Universiti Sultan Zainal Abidin,
Terengganu, Besut Campus, 22200,
Malaysia.
Email: Alahmad.shadi@yahoo.com,
^{*}sulaimanib@unisza.edu.my,
must@unisza.edu.my
Abstract:
In this paper, classes of integral and integrodifferential equations are solved using a modified differential transform method. This proposed technique is based on differential transform method (DTM), Laplace transform (LT) procedure and Pad\'{e} approximants (PA). The proposed method which gives a good approximation for the true solution in a large region is referred to modified differential transform method (MDTM). An algorithm was developed to illustrate the flow of the proposed method. Some numerical problems are presented to check the applicability of the proposed scheme and the obtained results from the computations are compared with other existing methods to illustrates its efficiency. Numerical results have shown that the proposed MDTM method is promising compared to other existing methods for solving integral and integrodifferential equations.
Paper's Title:
Solving NonAutonomous Nonlinear Systems of Ordinary Differential Equations Using MultiStage Differential Transform Method
Author(s):
K. A. Ahmad, Z. Zainuddin, F. A. Abdullah
School of Mathematical Sciences
Universiti Sains Malaysia
11800 USM Penang
Malaysia.
Email: abumohmmadkh@hotmail.com
zarita@usm.my
farahaini@usm.my
Abstract:
Differential equations are basic tools to describe a wide variety of phenomena in nature such as, electrostatics, physics, chemistry, economics, etc. In this paper, a technique is developed to solve nonlinear and linear systems of ordinary differential equations based on the standard Differential Transform Method (DTM) and Multistage Differential Transform Method (MsDTM). Comparative numerical results that we are obtained by MsDTM and RungeKutta method are proposed. The numerical results showed that the MsDTM gives more accurate approximation as compared to the RungeKutta numerical method for the solutions of nonlinear and linear systems of ordinary differential equations
Paper's Title:
Generalized Von NeumannJordan Constant for Morrey Spaces and Small Morrey Spaces
Author(s):
H. Rahman and H. Gunawan
Department of Mathematics,
Islamic State University Maulana Malik Ibrahim Malang,
Jalan Gajayana No.50,
Indonesia.
Email: hairur@mat.uinmalang.ac.id
Analysis and Geometry Group,
Faculty of Mathematics and Natural Sciences,
Bandung Institute of Technology, Bandung 40132,
Indonesia.
Email: hgunawan@math.itb.ac.id
URL:
http://personal.fmipa.itb.ac.id/hgunawan/
Abstract:
In this paper we calculate some geometric constants for Morrey spaces and small Morrey spaces, namely generalized Von NeumannJordan constant, modified Von NeumannJordan constants, and Zbaganu constant. All these constants measure the uniformly nonsquareness of the spaces. We obtain that their values are the same as the value of Von NeumannJordan constant for Morrey spaces and small Morrey spaces.
Paper's Title:
Corrigendum for Multistage Analytical Approximate Solution of QuasiLinear Differential Algebraic System of Index Two
Author(s):
Ibrahim M. Albak, F. A. Abdullah^{*} and Zarita Zainuddin
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM, Penang,
Malaysia.
Email: ibra13975@gmail.com,
farahaini@usm.my,
zarita@usm.my
Abstract:
This article is a corrigendum to AJMAA Volume 18, Issue 2, Article 13, {PDF Link}.
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