A new sequential fractional problem of Lane-Emden type : An analytical and a numerical study
*Kamel TablennehasCorresponding authortablennehas1@yahoo.frDepartment of Common CoreFaculty of TechnologyUniversity of MedeaMedea, 26000, Algeria0000-0003-2505-0445View full profile → , Iqbal Jebrili.jebril@zuj.edu.joDepartment of MathematicsAl Zaytoonah University of JordanAmman, 11733, Jordan0000-0003-4348-6197View full profile → , Zoubir Dahmanidahmani_zoubir@univ-blida.dzLaboratory of Discrete and Applied Mathematics and Operations ResearchFaculty of SciencesUniversity of Blida 1Blida, 09000, Algeria0000-0003-4659-0723View full profile → , Ahmed Anberahmed.anber@univ-usto.dzDepartment of MathematicsUniversity of Sciences and Technology of OranOran, 31000, Algeria0009-0004-9769-9467View full profile → , Abdelakader Lamamria.lamamri@univ-blida.dzLaboratory of Discrete and Applied Mathematics and Operations ResearchFaculty of SciencesUniversity of Blida 1Blida, 09000, Algeria0009-0005-4753-5795View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 02 Sep 2024
- Published Online:
- 24 Mar 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2234
- Pages:
- 2111–2131
Abstract
We study a class of three parameters-sequential integro-differential problem of Lane-Emden type with anti periodic conditions. We begin by presenting some results of existence and uniqueness, by application of BCP of Banach theorem. Then, by using Schaefer fixed point theorem, we prove an existence result. Some illustrative examples are also discussed. In another part of this paper, we apply the Adomian decomposition method for our problem under some initial conditions to obtain new solutions. Some graphs of the ADM method obtained solutions are plotted to show the behaviour of the solutions.
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References
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