Initial value problem for hybrid \(\psi\)-Hilfer fractional implicit differential equations

DOI10.1007/s11784-021-00920-xzbMath1493.34037OpenAlexW4200264210WikidataQ115377773 ScholiaQ115377773MaRDI QIDQ2065141

Abdelkrim Salim, John R. Graef, Mouffak Benchohra, Jamal-Eddine Lazreg

Publication date: 7 January 2022

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-021-00920-x

zbMATH Keywords

existenceuniquenessfixed pointinitial value problemimplicit differential equationfractional integralhybrid fractional differential equations\(\psi\)-Hilfer fractional derivative

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08) Hybrid systems of ordinary differential equations (34A38)

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