Monotone Iteration Principle in the Theory of Hadamard Fractional Delay Differential Equations
Pp. 132-158 (27)
Kishor D. Kucche
This chapter deals with the existence, uniqueness and approximations of
solutions of Hadamard fractional delay differential equations and neutral Hadamard
fractional delay differential equations. The results are acquired via monotone
iteration principle and hybrid fixed point theorems established by Dhage (2014) in
partially ordered normed linear spaces (PONLS) by imposing weak conditions on
the functions involved in the equations like mixed partial continuity and partial
compactness or partial Lipschitz conditions.
Hadamard fractional differential equations, Existence and uniqueness,
Hybrid fixed point theorems, Monotone iteration principle.
Department of Mathematics, Shivaji University, Kolhapur, 416004 India.