Infinitely many solutions to boundary value problem for fractional differential equations

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Abstract

Variational methods and critical point theorems are used to discuss existence of infinitely many solutions to boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. An example is given to illustrate our result.
Lingua originaleEnglish
pagine (da-a)1585-1597
Numero di pagine13
RivistaFRACTIONAL CALCULUS & APPLIED ANALYSIS
Volume21
Stato di pubblicazionePublished - 2018

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Fractional Order Differential Equations
Riemann-Liouville Fractional Derivative
Caputo Fractional Derivative
Infinitely Many Solutions
Fractional Differential Equation
Variational Methods
Boundary value problems
Critical point
Differential equations
Boundary Value Problem
Derivatives
Theorem

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cita questo

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title = "Infinitely many solutions to boundary value problem for fractional differential equations",
abstract = "Variational methods and critical point theorems are used to discuss existence of infinitely many solutions to boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. An example is given to illustrate our result.",
author = "Diego Averna and Elisabetta Tornatore and Angela Sciammetta",
year = "2018",
language = "English",
volume = "21",
pages = "1585--1597",
journal = "FRACTIONAL CALCULUS & APPLIED ANALYSIS",
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AU - Averna, Diego

AU - Tornatore, Elisabetta

AU - Sciammetta, Angela

PY - 2018

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AB - Variational methods and critical point theorems are used to discuss existence of infinitely many solutions to boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. An example is given to illustrate our result.

UR - http://hdl.handle.net/10447/351043

UR - http://www.springerlink.com/content/1311-0454/

M3 - Article

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JO - FRACTIONAL CALCULUS & APPLIED ANALYSIS

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