On singular systems of nonlinear equations involving 3n-Caputo derivatives | Zendy

Amele Taïeb | Zendy

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On singular systems of nonlinear equations involving 3n-Caputo derivatives

Author(s) -

Amele Taïeb

Publication year - 2020

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2019.23.16

Subject(s) - mathematics , uniqueness , nonlinear system , fixed point theorem , contraction mapping , schauder fixed point theorem , contraction (grammar) , stability (learning theory) , contraction principle , mathematical analysis , differential equation , singular solution , fixed point , picard–lindelöf theorem , computer science , physics , medicine , quantum mechanics , machine learning

We study singular fractional systems of nonlinear differential equations involving 3n-Caputo derivatives. We investigate existence and uniqueness results using the contraction mapping principle. We also discuss the existence of at least one solution by means of Schauder fixed point theorem. Moreover, we define and discuss the Ulam-Hyers stability and the generalized Ulam-Hyers stability of solutions for such systems. To illustrate the main results, we present some examples.

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