Weak solutions for implicit Hilfer fractional differential equations with not instantaneous impulses

zbMath1386.34006MaRDI QIDQ1697631

Johnny Henderson, Saïd Abbas, Mouffak Benchohra

Publication date: 20 February 2018

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1515467126

zbMATH Keywords

weak solutionfixed pointimplicitfractional differential equationnot instantaneous impulsesleft-sided mixed Pettis Riemann-Liouville integral of fractional orderPettis-Hilfer fractional derivative

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

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