Nonlinear integral inequalities involving Ψ-Hilfer fractional integrals and iterated fractional integrals, with applications to Ψ-Caputo fractional differential equations

Nonlinear integral inequalities involving Ψ-Hilfer fractional integrals and iterated fractional integrals, with applications to Ψ-Caputo fractional differential equations

In this paper, modifications of the well-known desingularization method proposed by the first author are used to derive nonlinear versions of the Henry–Gronwall inequality for integral inequalities with the Ψ-Hilfer fractional integral, as well as nonlinear integral inequalities with iterated Ψ-Hilf...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Medved’ Milan
Pospíšil Michal
Brestovanská Eva
Dokumentumtípus: Folyóirat
Megjelent: 2025
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
Tárgyszavak:
Természettudományok
Matematika
doi:10.14232/ejqtde.2025.1.30

Online Access:http://acta.bibl.u-szeged.hu/88910
Leíró adatok
Tartalmi kivonat:In this paper, modifications of the well-known desingularization method proposed by the first author are used to derive nonlinear versions of the Henry–Gronwall inequality for integral inequalities with the Ψ-Hilfer fractional integral, as well as nonlinear integral inequalities with iterated Ψ-Hilfer fractional integrals. The results are applied to obtain bounds for solutions of initial value problems for nonlinear ΨCaputo fractional differential equations, and sufficient conditions for the non-existence of blowing-up solutions.
Terjedelem/Fizikai jellemzők:24
ISSN:1417-3875

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