Dhage Iteration Method for IVPs of Nonlinear First Order Hybrid Functional Integrodifferential Equations of Neutral Type


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Authors

  • Bapurao C. Dhage ``Kasubai", Gurukul Colony, Thodga Road, Ahmepur, Dist. Latur, Maharashtra, India
  • P. Ram Mohan Reddy Department of Mathematics, Government Degree College, Dharpally, Telengana, India
  • Sidheshwar S. Bellale Department of Mathematics, Dayanand Science College, Latur, Maharashtra, India
  • Sidharth D. Sarkate Department of Mathematics, Millind Science College, Aurangpura, Aurngabad, Maharashtra, India

Keywords:

Hybrid neutral functional differential equation, Hybrid fixed point principle, Dhage iteration method, Existence and Approximation theorem

Abstract

In this paper we prove an existence and approximation result for a first order initial value problems of nonlinear hybrid functional integrodifferential equations of neutral type via construction of an algorithm. The main results rely on the Dhage iteration method embodied in a recent hybrid fixed point principle of Dhage (2015) and includes the existence and approximation theorems for several functional differential equations considered earlier in the literature. An example is also furnished to illustrate the hypotheses and the abstract result of this paper.

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Published

15-09-2019

How to Cite

Bapurao C. Dhage, P. Ram Mohan Reddy, Sidheshwar S. Bellale, & Sidharth D. Sarkate. (2019). Dhage Iteration Method for IVPs of Nonlinear First Order Hybrid Functional Integrodifferential Equations of Neutral Type. International Journal of Mathematics And Its Applications, 7(3), 55–66. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/229

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Section

Research Article