SOLUTIONS OF HIGHER ORDER SINGULAR NONLINEAR  (l-1,1) CONJUGATE-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH LOWER-UPPER SOLUTION

JAGDISH A. NANWARE; MADHURI N.  GADSING

SOLUTIONS OF HIGHER ORDER SINGULAR NONLINEAR (l-1,1) CONJUGATE-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH LOWER-UPPER SOLUTION

Authors

JAGDISH A. NANWARE Department of Mathematics Shrikrishna Mahavidyalaya, Gunjoti, Dist. Osmanabad-413 606 (MS) India
MADHURI N. GADSING Department of Mathematics Jawahar Arts, Science and Commerce College, Anadur, Dist. Osmanabad-413 603 (MS) India

Keywords:

Monotone iterative technique, lower-upper solutions, integral boundary conditions, fractional differential equations, existence and uniqueness solution, Banach contraction principle

Abstract

Using the monotone iterative technique coupled with method of lower and
upper solutions, we establish the existence and uniqueness of solutions for higher order
singular nonlinear (l−1, 1) conjugate-type fractional differential equation with one nonlocal
term.