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Description
  • The paper is concerned with the existence of solutions for singular fractional differential equations with the Caputo fractional derivative satisfying two-point boundary conditions. Solutions of problems vanish at points of (0,1), that is, they %22pass through%22 the singular nonlinearities of equations inside of (0,1). The results are based on combining regularization and sequential techniques with a nonlinear alternative. In limit processes, the Vitali convergence theorem is used.
  • The paper is concerned with the existence of solutions for singular fractional differential equations with the Caputo fractional derivative satisfying two-point boundary conditions. Solutions of problems vanish at points of (0,1), that is, they %22pass through%22 the singular nonlinearities of equations inside of (0,1). The results are based on combining regularization and sequential techniques with a nonlinear alternative. In limit processes, the Vitali convergence theorem is used. (en)
Title
  • Fractional boundary value problems with singularities in space variables
  • Fractional boundary value problems with singularities in space variables (en)
skos:prefLabel
  • Fractional boundary value problems with singularities in space variables
  • Fractional boundary value problems with singularities in space variables (en)
skos:notation
  • RIV/61989592:15310/13:33143446!RIV14-MSM-15310___
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  • S
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  • 4
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  • 75631
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  • RIV/61989592:15310/13:33143446
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  • Vitali convergence theorem; Leray-Schauder nonlinear alternative; existence; singular problem; two-point boundary conditions; Caputo fractional derivative; Fractional differential equation (en)
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  • US - Spojené státy americké
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  • [5E4938799FBF]
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  • Nonlinear Dynamics
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  • 71
http://linked.open...iv/tvurceVysledku
  • Staněk, Svatoslav
  • O'Regan, Donal
http://linked.open...ain/vavai/riv/wos
  • 000315437600006
issn
  • 0924-090X
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s11071-012-0443-x
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  • 15310
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