Research Article

Analysis of fractional differential systems involving Riemann Liouville fractional derivative

Volume: 69 Number: 2 December 31, 2020
EN

Analysis of fractional differential systems involving Riemann Liouville fractional derivative

Abstract

This paper is devoted to studying the multiple positive solutions for a system of nonlinear fractional boundary value problems. Our analysis is based upon the Avery Peterson fixed point theorem. In addition, we include an example for the demonstration of our main result.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           .





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Keywords

References

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  2. He, J., Jia, M., Liu, X., Chen, H., Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity, Advances in Difference Equations, (2018) 2018:49.
  3. Goodrich, C.S., On a fractional boundary value problem with fractional boundary conditions, Appl. Math. Lett., 25 (2012), 1101-1105.
  4. Goodrich, C.S., Existence of a positive solution to a class of fractional differential equations, Appl. Math. Lett. (2010) 23:1050-1055
  5. Ahmad, B., Nieto J.J., Alsaedi A., Aqlan, M.H., A Coupled System of Caputo-Type Sequential Fractional Differential Equations with Coupled (Periodic/Anti-periodic Type) Boundary Conditions, Mediterr. J. Math. (2017) 14:227.
  6. Henderson, J., Luca, R., Positive solutions for a system of nonlocal fractional boundary value problems, Fractional Calculus and Applied Analysis, 16(4) (2013), 985-1008.
  7. Henderson, J., Luca, R., Systems of Riemann-Liouville fractional equations with multi-point boundary conditions, Applied Mathematics and Computation, 309 (2017), 303-323.
  8. Henderson, J. and Luca, R. : Positive solutions for a system of semipositone coupled fractional boundary value problems, Boundary Value Problems (2016), 2016:61

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2020

Submission Date

January 6, 2020

Acceptance Date

March 26, 2020

Published in Issue

Year 2020 Volume: 69 Number: 2

APA
Batik, S., & Yoruk Deren, F. (2020). Analysis of fractional differential systems involving Riemann Liouville fractional derivative. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(2), 1345-1355. https://doi.org/10.31801/cfsuasmas.670823
AMA
1.Batik S, Yoruk Deren F. Analysis of fractional differential systems involving Riemann Liouville fractional derivative. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(2):1345-1355. doi:10.31801/cfsuasmas.670823
Chicago
Batik, Songul, and Fulya Yoruk Deren. 2020. “Analysis of Fractional Differential Systems Involving Riemann Liouville Fractional Derivative”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (2): 1345-55. https://doi.org/10.31801/cfsuasmas.670823.
EndNote
Batik S, Yoruk Deren F (December 1, 2020) Analysis of fractional differential systems involving Riemann Liouville fractional derivative. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 2 1345–1355.
IEEE
[1]S. Batik and F. Yoruk Deren, “Analysis of fractional differential systems involving Riemann Liouville fractional derivative”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 2, pp. 1345–1355, Dec. 2020, doi: 10.31801/cfsuasmas.670823.
ISNAD
Batik, Songul - Yoruk Deren, Fulya. “Analysis of Fractional Differential Systems Involving Riemann Liouville Fractional Derivative”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/2 (December 1, 2020): 1345-1355. https://doi.org/10.31801/cfsuasmas.670823.
JAMA
1.Batik S, Yoruk Deren F. Analysis of fractional differential systems involving Riemann Liouville fractional derivative. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:1345–1355.
MLA
Batik, Songul, and Fulya Yoruk Deren. “Analysis of Fractional Differential Systems Involving Riemann Liouville Fractional Derivative”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 2, Dec. 2020, pp. 1345-5, doi:10.31801/cfsuasmas.670823.
Vancouver
1.Songul Batik, Fulya Yoruk Deren. Analysis of fractional differential systems involving Riemann Liouville fractional derivative. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Dec. 1;69(2):1345-5. doi:10.31801/cfsuasmas.670823

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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