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

D.B. Dhaigude 1 *, N.B. Jadhav 2 and J.A. Nanware 3

doi:10.26637/MJM0603/0001

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

Authors :

D.B. Dhaigude^{1 *}, N.B. Jadhav ² and J.A. Nanware ³

Author Address :

¹ Department of Mathematics, Dr.Babasaheb Ambedkar Marathwada University, Aurangabad - 431 004, India.
²Department of Mathematics, Yeshwantrao Mahavidyalaya, Tuljapur-413 601, India.
³Department of Mathematics, Shrikrashana Mahavidyalaya, Gunjoti-413 601, India.

*Corresponding author.

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 :

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

DOI :

10.26637/MJM0603/0001

Article Info :

Received : January 24, 2018; Accepted : April 21, 2018.