A nonlocal multi‐point singular fractional integro‐differential problem of Lane–Emden type. (19th April 2020)

• Record Type: Journal Article
• Authors: Gouari, Yazid; Dahmani, Zoubir; Sarikaya, Mehmet Zeki
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 11(2020)
• Page Start: 6938
• Page End: 6949
• Publication Date: 2020-04-19
• Subjects: Caputo derivative -- existence of solution -- Lane–Emden equation -- multi‐point problem -- singular equation; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6444
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, using Riemann–Liouville integral and Caputo derivative, we study a nonlinear singular integro‐differential equation of Lane–Emden type with nonlocal multi‐point integral conditions. We prove the existence and uniqueness of solutions by application of Banach contraction principle. Also, we prove an existence result using Schaefer fixed point theorem. Then, we present some examples to show the applicability of the main results.