Current Developments in Mathematical Sciences

Volume: 1

Monotone Iteration Principle in the Theory of Hadamard Fractional Delay Differential Equations

Author(s): Kishor D. Kucche

Pp: 132-158 (27)

DOI: 10.2174/9781681085999118010008

* (Excluding Mailing and Handling)


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.

Keywords: Hadamard fractional differential equations, Existence and uniqueness, Hybrid fixed point theorems, Monotone iteration principle.

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