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A nonlocal multi‐point singular fractional integro‐differential problem of Lane–Emden type
- Source :
- Mathematical Methods in the Applied Sciences. 43:6938-6949
- Publication Year :
- 2020
- Publisher :
- Wiley, 2020.
-
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. DGRSDT, Direction Generale de la Recherche Scientifique et du Developpement Technologique, Algeria The authors express a special thanks to the associate editor and referees for their motivated comments that made the original manuscript significant and improved. This paper is supported by DGRSDT, Direction Generale de la Recherche Scientifique et du Developpement Technologique, Algeria. WOS:000526582000001 2-s2.0-85084038419
- Subjects :
- Equation
General Mathematics
General Engineering
Positive Solutions
Existence
Type (model theory)
multi-point problem
Caputo derivative
Lane-Emden equation
singular equation
Applied mathematics
Lane–Emden equation
Singular equation
existence of solution
Differential (mathematics)
Multi point
Model
Mathematics
Subjects
Details
- ISSN :
- 10991476 and 01704214
- Volume :
- 43
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi.dedup.....7569d1b89ae2fba38a48484296ad4115