Oscillation of differential equations in the frame of nonlocal fractional derivatives generated by conformable derivatives

DOI10.1186/s13662-018-1554-6zbMath1445.34006OpenAlexW2798103348WikidataQ130017339 ScholiaQ130017339MaRDI QIDQ1711754

Bahaaeldin Abdalla

Publication date: 18 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1554-6

zbMATH Keywords

oscillation theoryfractional differential equationsfractional conformable derivativesfractional conformable integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Oscillation theory of functional-differential equations (34K11) Fractional ordinary differential equations (34A08)

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On the oscillation of differential equations in frame of generalized proportional fractional derivatives ⋮ Improvement on conformable fractional derivative and its applications in fractional differential equations ⋮ On the oscillation of Caputo fractional differential equations with Mittag-Leffler nonsingular kernel ⋮ On the oscillation of Hadamard fractional differential equations ⋮ Existence of periodic, solitary and compacton travelling wave solutions of a \((3+1)\)-dimensional time-fractional nonlinear evolution equations with applications ⋮ Antiperiodic boundary value problems for impulsive fractional functional differential equations via conformable derivative ⋮ Oscillation criteria for kernel function dependent fractional dynamic equations ⋮ On the oscillation of kernel function dependent fractional integrodifferential equations ⋮ Analysis of a debonding model of two elastic 2D-bars ⋮ Forced oscillation of fractional differential equations via conformable derivatives with damping term ⋮ Oscillation theorems for three classes of conformable fractional differential equations

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