On a fractional differential equation with infinitely many solutions

Dumitru Băleanu; Octavian G Mustafa; Donal O'Regan

doi:10.13025/25097

On a fractional differential equation with infinitely many solutions

Dumitru Băleanu
, Octavian G Mustafa
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

We present a set of restrictions on the fractional differential equation , , where and , that leads to the existence of an infinity of solutions (a continuum of solutions) starting from . The operator is the Caputo differential operator.

Original language	English (Ireland)
Journal	Advances In Difference Equations
DOIs	https://doi.org/10.13025/25097 https://doi.org/10.1186/1687-1847-2012-145
Publication status	Published - 1 Jan 2012

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10.13025/25097Licence: CC BY-NC-ND
10.1186/1687-1847-2012-145

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title = "On a fractional differential equation with infinitely many solutions",

abstract = "We present a set of restrictions on the fractional differential equation , , where and , that leads to the existence of an infinity of solutions (a continuum of solutions) starting from . The operator is the Caputo differential operator.",

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AU - Mustafa, Octavian G

AU - O'Regan, Donal

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N2 - We present a set of restrictions on the fractional differential equation , , where and , that leads to the existence of an infinity of solutions (a continuum of solutions) starting from . The operator is the Caputo differential operator.

AB - We present a set of restrictions on the fractional differential equation , , where and , that leads to the existence of an infinity of solutions (a continuum of solutions) starting from . The operator is the Caputo differential operator.

UR - http://hdl.handle.net/10379/10332

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DO - 10.13025/25097

M3 - Article

JO - Advances In Difference Equations

JF - Advances In Difference Equations

ER -

On a fractional differential equation with infinitely many solutions

Abstract

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