EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

Volume: 7 Number: 2 December 1, 2017
  • A. Kameswara Rao
EN

EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

Abstract

We show under some conditions the existence and multiplicity of positive solutions for a system of di erential equations of fractional order, subject to two-point boundary conditions by applying the xed point index theory in cones.

Keywords

References

  1. Amann,H., (1976), Fixed point equation and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev., 18, pp.620-709.
  2. Agarwal,R.P. and O’Regan, D., (2000), Multiple solutions for a couple system of boundary value problems, Dyn. Contin. Discrete Impuls. Syst., 7, pp.97-106.
  3. Agarwal,R.P., Zhou,Y., and He,Y., (2010), Existence of fractional neutral functional differential equa- tions, Comput. Math. Appl., 59, pp.1095-3554.
  4. Ahmad,B. and Ntouyas,S.K., (2012), A note on fractional differential differential equations with frac- tional separated boundary conditions, Abstr. Appl. Anal., Article ID 818703, pp.1-11.
  5. Bai,Z., (2010), On positive solutions of a nonlocal fractional boundary value problem, Nonlinear Anal., 72, pp.916-924.
  6. Bai,Z. and Lu,H., (2005), Positive solutions for boundary value problems of nonlinear fractional dif- ferential equations, J. Math. Anal. Appl., 311, pp.495-505.
  7. Balenu, D., Dielheelm,K., Scalas,E., and Trujillo,J.J., (2012), Fractional Calculus Models and Numer- ical Methods, (2008), Series on Complexity, Nonlinearity and Chaos, World Scientific, Boston.
  8. Das,S., Functional Fractional Calculus for System Identification and Controls, Springer, New York.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

A. Kameswara Rao This is me

Publication Date

December 1, 2017

Submission Date

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Acceptance Date

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Published in Issue

Year 2017 Volume: 7 Number: 2

APA
Rao, A. K. (2017). EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. TWMS Journal of Applied and Engineering Mathematics, 7(2), 291-302. https://izlik.org/JA88ZH23NL
AMA
1.Rao AK. EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. JAEM. 2017;7(2):291-302. https://izlik.org/JA88ZH23NL
Chicago
Rao, A. Kameswara. 2017. “EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER”. TWMS Journal of Applied and Engineering Mathematics 7 (2): 291-302. https://izlik.org/JA88ZH23NL.
EndNote
Rao AK (December 1, 2017) EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. TWMS Journal of Applied and Engineering Mathematics 7 2 291–302.
IEEE
[1]A. K. Rao, “EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER”, JAEM, vol. 7, no. 2, pp. 291–302, Dec. 2017, [Online]. Available: https://izlik.org/JA88ZH23NL
ISNAD
Rao, A. Kameswara. “EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER”. TWMS Journal of Applied and Engineering Mathematics 7/2 (December 1, 2017): 291-302. https://izlik.org/JA88ZH23NL.
JAMA
1.Rao AK. EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. JAEM. 2017;7:291–302.
MLA
Rao, A. Kameswara. “EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER”. TWMS Journal of Applied and Engineering Mathematics, vol. 7, no. 2, Dec. 2017, pp. 291-02, https://izlik.org/JA88ZH23NL.
Vancouver
1.A. Kameswara Rao. EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. JAEM [Internet]. 2017 Dec. 1;7(2):291-302. Available from: https://izlik.org/JA88ZH23NL