Existence Uniqueness Theorems for Multi-Term Fractional Delay Differential Equations-Reference-Cited by-同舟云学术

Existence Uniqueness Theorems for Multi-Term Fractional Delay Differential Equations

Published:2015-10-01 Issue:5 Volume:18 Page:1113-1127
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Choudhary Sangita¹,Daftardar-Gejji Varsha²

Affiliation:

1. Dept. of Mathematics, Savitribai Phule Pune University Ganeshkhind, Pune – 411007, INDIA

2. Dept. of Mathematics, Savitribai Phule Pune University Ganeshkhind, Pune - 411007, INDIA

Abstract

Abstract In this paper we analyze non-linear multi-term fractional delay differential Equation

denotes the Caputo fractional derivative of order α. The Schaefer fixed point theorem and Banach contraction principle are used to investigate the existence and uniqueness of solutions for above equation with periodic/ anti-periodic boundary conditions.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2015-0064/pdf

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