Existence of mild solutions for conformable fractional differential equations with nonlocal conditions

DOI10.1216/rmj.2020.50.871zbMath1479.34009OpenAlexW3046160700MaRDI QIDQ2192242

Said Melliani, Khalid Hilal, Mohamed Bouaouid

Publication date: 14 August 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1595988027

zbMATH Keywords

semigroups of linear operatorsfractional differential equationsnonlocal conditionconformable fractional derivative

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Groups and semigroups of linear operators (47D03) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (7)

A class of nonlocal impulsive differential equations with conformable fractional derivative ⋮ On the existence of mild solutions for nonlocal differential equations of the second order with conformable fractional derivative ⋮ Mild solutions of a class of conformable fractional differential equations with nonlocal conditions ⋮ Controllability of mild solution of nonlocal conformable fractional differential equations ⋮ Existence of solutions for a nonlinear nonlocal hybrid functional fractional differential equation ⋮ NEW RESULTS ON CONTINUITY BY ORDER OF DERIVATIVE FOR CONFORMABLE PARABOLIC EQUATIONS ⋮ Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition

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