Initial value problems for fractional differential equations involving Riemann-Liouville derivative

J.A. Nanware; N.B. Jadhav; D.B. Dhaigude

doi:10.26637/mjm502/012

Abstract

Existence results are obtained for fractional differential equations with $C_p$ continuity of functions. Monotone method for nonlinear initial value problem is developed by introducing the notion of coupled lower and upper solutions. As an application of the method existence and uniqueness results are obtained.

Keywords:

Fractional derivative, initial value problem, coupled lower and upper solutions, existence and uniqueness

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

J.A. Nanware Department of Mathematics, Shrikrishna Mahavidyalaya, Gunjoti–413 606, Maharashtra, India.
N.B. Jadhav Department of Mathematics, Yashwantrao Chavan Mahavidyalaya, Tuljapur– 413 605, India.
D.B. Dhaigude Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431 004, Maharashtra, India.

Pages: 337-345
Date Published: 01-04-2017
Vol. 5 No. 02 (2017): Malaya Journal of Matematik (MJM)

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