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A VARIATIONAL APPROACH OF THE STURM-LIOUVILLE PROBLEM IN FRACTIONAL DIFFERENCE CALCULUS

Mert, Raziye; Erbe, Lynn; Abdeljawad, Thabet


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{
  "DOI": "10.12732/dsa.v27i1.7", 
  "abstract": "In this article, we formulate and analyze a nabla fractional difference Sturm Liouville problem (SLP) with the nabla left Caputo fractional difference and the nabla right Riemann-Liouville fractional difference. The discrete fractional variational calculus is used to study the eigenvalues and eigenfunctions of the formulated SLP by presenting a new nabla fractional difference isoperimetric variational problem.", 
  "author": [
    {
      "family": "Mert", 
      "given": " Raziye"
    }, 
    {
      "family": "Erbe", 
      "given": " Lynn"
    }, 
    {
      "family": "Abdeljawad", 
      "given": " Thabet"
    }
  ], 
  "container_title": "DYNAMIC SYSTEMS AND APPLICATIONS", 
  "id": "30255", 
  "issue": "1", 
  "issued": {
    "date-parts": [
      [
        2018, 
        1, 
        1
      ]
    ]
  }, 
  "page": "137-148", 
  "title": "A VARIATIONAL APPROACH OF THE STURM-LIOUVILLE PROBLEM IN FRACTIONAL DIFFERENCE CALCULUS", 
  "type": "article-journal", 
  "volume": "27"
}
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