A Fite type result for sequential fractional differential equations

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dc.creatorMustafa, Octavian G.
dc.creatorAbdeljawad, Thabet
dc.creatorBaleanu, Dumitru
dc.creatorJarad, Fahd
dc.creatorTrujillo, Juan J.
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:01:56Z
dc.date.available2026-07-07T13:01:56Z
dc.descriptionGiven the solution $f$ of the sequential fractional differential equation $_{a}D_{t}^α(_{a}D_{t}^αf)+P(t)f=0$, $t\in[b,c]$, where $-\infty<a<b<c<+\infty$, $α\in({1/2},1)$ and $P:[a,+\infty)\to[0,P_{\infty}]$, $P_{\infty}<+\infty$, is continuous, assume that there exist $t_1,t_2\in[b,c]$ such that $f(t_1)=(_{a}D_{t}^αf)(t_2)=0$. Then, we establish here a positive lower bound for $c-a$ which depends solely on $α,P_{\infty}$. Such a result might be useful in discussing disconjugate fractional differential equations and fractional interpolation, similarly to the case of (integer order) ordinary differential equations.
dc.identifierhttps://arxiv.org/abs/0904.1490
dc.identifierhttp://arxiv.org/abs/0904.1490
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226315
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject45E10; 45M99
dc.titleA Fite type result for sequential fractional differential equations
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