Method of upper lower solutions for nonlinear system of fractional differential equations and applications

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DOI:

https://doi.org/10.26637/MJM0603/0001

Abstract

Our aim is to develop the method of upper lower solutions and apply it to prove existence and uniqueness of
solution of periodic boundary value problems for a system of fractional differential equations involving a Riemann
- Liouville fractional derivatives.

Keywords:

System of fractional differential equations, Periodic boundary value problems, Riemann-Liouville fractional derivatives, Upper and lower solutions, Existence and uniqueness results

Mathematics Subject Classification:

Mathematics
  • D.B. Dhaigude Department of Mathematics, Dr.Babasaheb Ambedkar Marathwada University, Aurangabad - 431 004, India
  • N.B. Jadhav Department of Mathematics, Yeshwantrao Mahavidyalaya, Tuljapur-413 601, India.
  • J.A. Nanware Department of Mathematics, Shrikrashana Mahavidyalaya, Gunjoti-413 601, India.
  • Pages: 467-472
  • Date Published: 01-07-2018
  • Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

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Published

01-07-2018

How to Cite

D.B. Dhaigude, N.B. Jadhav, and J.A. Nanware. “Method of Upper Lower Solutions for Nonlinear System of Fractional Differential Equations and Applications”. Malaya Journal of Matematik, vol. 6, no. 03, July 2018, pp. 467-72, doi:10.26637/MJM0603/0001.