Construction of fixed point operators for nonlinear difference equations of non integer order with impulses-Reference-Cited by-同舟云学术

Construction of fixed point operators for nonlinear difference equations of non integer order with impulses

Published:2020-06-01 Issue:3 Volume:23 Page:886-907
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Haider Syed Sabyel¹,Rehman Mujeeb Ur¹

Affiliation:

1. School of Natural Sciences , National University of Sciences and Technology , H-12 , Islamabad , Pakistan

Abstract

Abstract In this article, we establish a technique for transforming arbitrary real order delta difference equations with impulses to corresponding summation equations. The technique is applied to non-integer order delta difference equation with some boundary conditions. Furthermore, the summation formulation for impulsive fractional difference equation is utilized to construct fixed point operator which in turn are used to discuss existence of solutions.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0045/pdf

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