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Page 1: JAMP.Vol07.No04.Apr2019.pp747-1011Journal of Applied Mathematics and Physics (JAMP) Journal Information SUBSCRIPTIONS The Journal of Applied Mathematics and Physics (Online at Scientific

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Page 2: JAMP.Vol07.No04.Apr2019.pp747-1011Journal of Applied Mathematics and Physics (JAMP) Journal Information SUBSCRIPTIONS The Journal of Applied Mathematics and Physics (Online at Scientific
Page 3: JAMP.Vol07.No04.Apr2019.pp747-1011Journal of Applied Mathematics and Physics (JAMP) Journal Information SUBSCRIPTIONS The Journal of Applied Mathematics and Physics (Online at Scientific

Journal of Applied Mathematics and Physics, 2019, 7, 747-1011 http://www.scirp.org/journal/jamp

ISSN Online: 2327-4379 ISSN Print: 2327-4352

Table of Contents Volume 7 Number 4 April 2019 Classical Quantum Field Theory Based on the Hypothesis of the Absolute Reference System

K. Patrinos………….....................................................…………………………………………………………………747

On Kirchhoff Problems Involving Critical Exponent and Critical Growth

M. El Mokhtar O. El Mokhtar, Z. I. Almuhiameed………...............................………………………………………781

Analytical and Numerical Investigations of Probabilistic Monochromatic Problem

S. Schmuck, J. Svensson……........................................................................……………………………………………793

Calculation of the Centrally Symmetric and Vortex Forces Acting on Momentum in Distortion Tensor Field: Explanation of High-Temperature Plasma and Vortex Motions

A. Y. Braginsky………..................................................................................……………………………………………809

Lateral Shear Layer and Its Velocity Distribution of Flow in Rectangular Open Channels

X. Tang……….............................................................…………………………………………………………………829

The Future of Snapchat: A Mathematical Model

S. M. Al-Tuwairqi, B. K. Aloosh, R. A. Bagies…….................................................................…………………………841

Travelling Waves: Interplay of Low to High Reynolds Number and Tan-Cot Function Method to Solve Burger’s Equations

Md. Kamrujjaman, A. Ahmed, J. Alam……................................................................................………………………861

Structure of Essential Spectrum and Discrete Spectrum of the Energy Operator of Three-Magnon Systems in the Isotropic Ferromagnetic Non-Heisenberg Model with Spin One and Nearest-Neighbor Interactions

S. M. Tashpulatov………....................................………………………………………………………………………874

Duplicate Form of the Generalized Carlitz Inversions and Summation Formulae

Q. Y. Dong….........................………………………………………………………..…………………………………900

Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations

Md. A. Salam, U. Habiba…………...............................................................................…………………………………912

Approximate Solution of Lane-Emden Type Equations Using Variation of Parameters Method with an Auxiliary Parameter

A. S. Khalifa, H. N. Hassan……………...................................................................……………………………………921

Page 4: JAMP.Vol07.No04.Apr2019.pp747-1011Journal of Applied Mathematics and Physics (JAMP) Journal Information SUBSCRIPTIONS The Journal of Applied Mathematics and Physics (Online at Scientific

Journal of Applied Mathematics and Physics, 2019, 7, 747-1011 http://www.scirp.org/journal/jamp

ISSN Online: 2327-4379 ISSN Print: 2327-4352

Effect of Translatory Motion on Dynamics Heat and Mass Transfer of Vapor Bubble Radially Oscillating in a Liquid

N. S. Khabeev……….....................…………………………………………………..…………………………………942

Dynamical Analysis of a Schistosomiasis japonicum Model with Time Delay

F. M. Zhang, S. J. Gao, H. H. Cao, Y. Q. Luo……...................................…………..…………………………………948

MHD Effects on Mixed Convective Nanofluid Flow with Viscous Dissipation in Surrounding Porous Medium

Md. N. Uddin, Md. A. Alim, Md. M. Rahman……...............................................……………………………………968

Elementary Wave Interactions for the Simplified Combustion Model in Magnetogasdynamics

Y. J. Liu, W. H. Sun……...........……………………………………………………..…………………………………983

Oscillatory and Asymptotic Behaviour of Solutions of Two Nonlinear Dimensional Difference Systems

G. Saraswathi, P. Sumathi…………..………………………………………………..………………………………1001

Page 5: JAMP.Vol07.No04.Apr2019.pp747-1011Journal of Applied Mathematics and Physics (JAMP) Journal Information SUBSCRIPTIONS The Journal of Applied Mathematics and Physics (Online at Scientific

Journal of Applied Mathematics and Physics (JAMP) Journal Information SUBSCRIPTIONS The Journal of Applied Mathematics and Physics (Online at Scientific Research Publishing, www.SciRP.org) is published monthly by Scientific Research Publishing, Inc., USA. Subscription rates: Print: $39 per issue. To subscribe, please contact Journals Subscriptions Department, E-mail: [email protected]

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COPYRIGHT Copyright and reuse rights for the front matter of the journal: Copyright © 2019 by Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/

Copyright for individual papers of the journal: Copyright © 2019 by author(s) and Scientific Research Publishing Inc.

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Page 7: JAMP.Vol07.No04.Apr2019.pp747-1011Journal of Applied Mathematics and Physics (JAMP) Journal Information SUBSCRIPTIONS The Journal of Applied Mathematics and Physics (Online at Scientific