On the existence of mild solutions for nonlocal differential equations of the second order with conformable fractional derivative

DOI10.1186/s13662-021-03593-5zbMath1494.34014OpenAlexW3206645271WikidataQ115241168 ScholiaQ115241168MaRDI QIDQ2167211

Mustapha Atraoui, Mohamed Bouaouid

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03593-5

zbMATH Keywords

measure of noncompactnessfractional differential equationsnonlocal conditionsconformable fractional derivativecosine family of linear operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items

A class of nonlocal impulsive differential equations 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 ⋮ Uniqueness criteria for initial value problem of conformable fractional differential equation

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