S-asymptotically \(\omega\)-periodic mild solutions and stability analysis of Hilfer fractional evolution equations

DOI10.3934/eect.2020089zbMath1501.34006OpenAlexW3048718659MaRDI QIDQ2068776

Pallavi Bedi, Aziz Khan, Thabet Abdeljawad, Anoop Kumar

Publication date: 20 January 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2020089

zbMATH Keywords

fixed point theoryUlam-Hyers-Rassias stabilityUlam-Hyers stabilityHilfer fractional derivativeS-asymptotically \(\omega\)-periodic mild solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (8)

Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators ⋮ Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense ⋮ Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations ⋮ Stability results and existence for fractional differential equation involving Atangana-Baleanu derivative with nonlocal integral conditions ⋮ COMPUTATIONAL STUDY OF FRACTIONAL-ORDER VECTOR BORNE DISEASES MODEL ⋮ Exact controllability of Hilfer fractional differential system with non-instantaneous impluleses and state dependent delay ⋮ Unnamed Item ⋮ Almost periodic functions and their applications: a survey of results and perspectives

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