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A nonlocal multi‐point singular fractional integro‐differential problem of Lane–Emden type
Author(s) -
Gouari Yazid,
Dahmani Zoubir,
Sarikaya Mehmet Zeki
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6444
Subject(s) - mathematics , uniqueness , fixed point theorem , contraction principle , mathematical analysis , type (biology) , contraction (grammar) , nonlinear system , fractional calculus , banach fixed point theorem , medicine , ecology , physics , quantum mechanics , biology
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.