**Currrent Issue: Volume 3, Number 2, 2015**

### Article

**Linear Model Analysis of Observational Data in the Sense of Least –Squares Criterion**

^{1}Department of Statistics College of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia

*American Journal of Mathematical Analysis*. 2015, 3(2), 47-53

doi: 10.12691/ajma-3-2-5

**Copyright © 2015 Science and Education Publishing**

**Cite this paper:**

J.A. Basabrain. Linear Model Analysis of Observational Data in the Sense of Least –Squares Criterion.

*American Journal of Mathematical Analysis*. 2015; 3(2):47-53. doi: 10.12691/ajma-3-2-5.

Correspondence to: J.A. Basabrain, Department of Statistics College of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia. Email: jbasabrain@yahoo.com

### Abstract

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### References

[1] | Kolb, E.W., and Turner, M.S. 1990, The Early Universe. Frontiers in Physics. Redwood City, CA: Addison –Wesley. Advanced Book Program. | ||

[2] | Kopal, Z and Sharaf, M.A. 1980, Linear Analysis of the Light Curves of Eclipsing Variables, Astrophysics and Space Science, 70, 77-101. | ||

[3] | Borne, J, M., and 91 others: 2009, Astroinformatics: A 21^{st} Century Approach to Astronomy. Tech. rept. Submitted to 2010 Decadal Survey. | ||

### Article

**On the Construction of Families of type П**

_{1}Subfactors Each Containing a Middle Subfactors^{1}Former lecturer at university of Saskatchewan, San Francisco/California

*American Journal of Mathematical Analysis*. 2015, 3(2), 44-46

doi: 10.12691/ajma-3-2-4

**Copyright © 2015 Science and Education Publishing**

**Cite this paper:**

Bahman Mashood, Mahmood Khoshkam. On the Construction of Families of type П

_{1}Subfactors Each Containing a Middle Subfactors.

*American Journal of Mathematical Analysis*. 2015; 3(2):44-46. doi: 10.12691/ajma-3-2-4.

Correspondence to: Bahman Mashood, Former lecturer at university of Saskatchewan, San Francisco/California. Email: b_mashood@hotmail.com

### Abstract

_{1}subfactors each containing a middle subfactor. As a result of the above construction we show that the set of the indices of hyperfinite irreducible subfactors contains the interval [37.0037,∞).

### Keywords

### References

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### Article

**Similar Constructing Method for Solving the Boundary Value Problem of the Compound Kummer Equation**

^{1}College of Science, Xihua University, Chengdu, China

^{2}Beijing Dongrunke Petroleum Technology Co., Ltd., Beijing, China

*American Journal of Mathematical Analysis*. 2015, 3(2), 39-43

doi: 10.12691/ajma-3-2-3

**Copyright © 2015 Science and Education Publishing**

**Cite this paper:**

Duo Zhang, Shunchu Li, Dongdong Gui. Similar Constructing Method for Solving the Boundary Value Problem of the Compound Kummer Equation.

*American Journal of Mathematical Analysis*. 2015; 3(2):39-43. doi: 10.12691/ajma-3-2-3.

Correspondence to: Shunchu Li, College of Science, Xihua University, Chengdu, China. Email: lishunchu@163.com

### Abstract

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### References

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[3] | Li Shun-chu, Wu Xiao-qing. Several Important Properties for the Boundary Value Problems of Second-order Linear Homogeneous Differential Equation (in Chinese)[J]. Journal of Xihua University (Natural Science Edition), 2013, 32(1): 23-26. | ||

[4] | LI Shun-Chu, Liao Zhi-Jian. Constructing the Solution of Boundary Value Problem of the Differential Equation with it’s an Arbitrary Non-trivial Solution (in Chinese) [J]. Journal of Sichuan University (Natural Science Edition), 2012, 49(6): 1209-1213. | ||

[5] | WANG Fu-rong, LI Shun-chu, XU Dong-xu. The Similarity Construction Method of a Kind of Boundary-Value Problem of Airy Equation(in Chinese) [J]. Journal of Hubei Normal University (Natural Science), 2013, 33(1):79-85. | ||

[6] | Bao Xitao, Li Shunchu, Xiao Xuxia, Xu Dongxu. Similar Constructive Method of Solutions of Nonlinear Seepage Model for Homogeneous Reservoir (in Chinese)[J]. NATURAL GAS AND OIL, 2012, 30(65): 47-51. | ||

[7] | LI Wei, LI Xiaoping, LI Shunchu, LI Quanyong. SIMILAR STRUCTURE OF THE SOLUTIONS OF MATHEMATICAL MODEL FOR THE NONLINEAR FLOW OF FRACTAL COMMINGLED OIL RESERVOIRS (in Chinese) [J]. Petroleum Geology & Oilfield Development in Daqing, 2012, 31(6): 79-83. | ||

[8] | WANG Jun-chao, LI Shun-chu, XU Li. Spherical Fluids Flow Models in Composite Reservoir Based on Similar Structure of Solution (in Chinese)[J]. Journal of Guilin University of Technology, 2012, 32(4): 624-627. | ||

[9] | LI Quan-yong, LI Shun-chu, LI Wei, WANG Jun-chao. Study of the Nonlinear Fluid Flow Model in Dual-porosity Media Reservoir Based on Similar Structure[J].CHINESE JOURNAL OF ENGINEERING MATHEMATICS,2013, 30(1):123-130. | ||

[10] | LI Quan-yong, LI Shun-chu, LI Wei, WANG Jun-chao. Solution to Base on the Similar Structure of the Double Porosity-Multilayer Reservoir(in Chinese) [J]. College Mathematics, 2013, 29(1): 56-60. | ||

[11] | LI Shun-chu, Huang Bing-guang. Laplace transform and Bessel functions and the theoretical basis of well test analysis [M].Beijing: Petroleum Industry Press, 2000. | ||

[12] | LI Shun-chu,WANG Jun-chao,XU Li. The Similar Structure of Solutions to the Spherical Fluids Flow Problems for a Composite Reservoir (in Chinese)[J]. Journal of Mathematics in Practice and Theory, 2014,44(3):122-127. | ||

[13] | Li Ke, Li Shunchu, Dong Yanan. The Solution of Well Test Analysis Model Based on Similar Structure in the Multilayer Reservoir (in Chinese)[J]. Well Testing, 2013, 22(2):7-9. | ||

[14] | Xiao Xuxia, Li Shunchu. The Similar Structure of Solutions for the Boundary Value Problem of Euler’s Hypergeometric Differential Equation (in Chinese)[J]. Journal of Inner Mongolia Normal University (Natural Science Edition), 2012, 41(6): 597-600(-603). | ||

[15] | BAO Xi-tao, LI Shun-chu, LIAO Zhi-Jian. Similar Constructive Method of Solution for the Boundary Value Problem of Euler Hyper-geometric Differential Equation (in Chinese)[J]. Journal of Southwest University of Science and Technology, 2012, 27(4):101-105. | ||

### Article

**Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of Mittag-Leffler Function**

^{1}Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Nadia, West Bengal, India

^{2}Department of Applied Mathematics, University of Calcutta, Kolkata, West Bengal, India

^{3}Reactor Control System Design Section Bhabha Atomic Research Centre, Mumbai, India

^{4}Department of Physics, Jadavpur University Kolkata, West Bengal, India

*American Journal of Mathematical Analysis*. 2015, 3(2), 32-38

doi: 10.12691/ajma-3-2-2

**Copyright © 2015 Science and Education Publishing**

**Cite this paper:**

Uttam Ghosh, Srijan Sengupta, Susmita Sarkar, Shantanu Das. Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of Mittag-Leffler Function.

*American Journal of Mathematical Analysis*. 2015; 3(2):32-38. doi: 10.12691/ajma-3-2-2.

Correspondence to: Uttam Ghosh, Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Nadia, West Bengal, India. Email: uttam_math@yahoo.co.in

### Abstract

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### References

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### Article

**Similar Construction Method of the Boundary Value Problem of Composite Spherical Bessel Equations**

^{1}Institute of Applied Mathematics, Xihua University, Chengdu, China

^{2}Beijing Dong run ke Petroleum Technology Co,Ltd, Beijing, China

*American Journal of Mathematical Analysis*. 2015, 3(2), 26-31

doi: 10.12691/ajma-3-2-1

**Copyright © 2015 Science and Education Publishing**

**Cite this paper:**

Qiang Wang, Shunchu Li, Ming Hu, Dongdong Gui. Similar Construction Method of the Boundary Value Problem of Composite Spherical Bessel Equations.

*American Journal of Mathematical Analysis*. 2015; 3(2):26-31. doi: 10.12691/ajma-3-2-1.

Correspondence to: Qiang Wang, Institute of Applied Mathematics, Xihua University, Chengdu, China. Email: wangqian1205@foxmail.com

### Abstract

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### References

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[8] | Pengshe Zheng, Shunchu Li, Weibing Zhu. The similar structure of pressure distribution in the double porosity composite reservoir (in Chinese). Drilling & Production Technology, 2008, 31 (4): 80-81. | ||

[9] | Shunchu Li. The similar structure of solution to the boundary value problem for second-order linear homogeneous differential equations (in Chinese). Journal of Xihua University (Natural Science Edition), 2009, 28 (5): 40-41 (to 90). | ||

[10] | Shunchu Li. Preliminary exploration and prospects of the similar structure of solutions of differential equations (in Chinese). Journal of Xihua University (Natural Science Edition), 2010, 29 (2): 223-226 (to 238). | ||

[11] | Yibin Tian, Shunchu Li, Quanyong Li, etc. The similar structure of Tschebyscheff equation on boundary value problem (in Chinese). Sichuan Ordnance Journal, 2011, 32 (1): 155-156. | ||

[12] | Xuxia Xiao, Li Shunchu Li. The similar structure of solutions for the boundary value problem of Euler’s Hypergeometric differential equation (in Chinese). Journal of Inner Mongolia Normal University (Natural Science Edition), 2012, 41 (6): 597-600 (-603). | ||

[13] | Quanyong Li, Shunchu Li, Ke Li, etc. Study of the seepage model in dual-porosity composite media reservoir based on similar structure of solution (in Chinese). Drilling & Production Technology, 2012, 35 (2): 54-56. | ||

[14] | Xitao Bao, Shunchu Li, ZhiJian Liao. Similar constructive method of solution for the boundary value problem of Euler Hyper-geometric differential equation (in Chinese). Journal of Southwest University of Science and Technology, 2012, 27 (4): 101-105. | ||

[15] | Shunchu Li, Bingguang Huang. Laplace transform and Bessel functions and the theoretical basis of well test analysis. Beijing: Petroleum Industry Press, 2000. | ||

[16] | Shishi Liu, Shida Liu. Special function. Beijing: China Meteorological Press, 2002. | ||