2018
DOI: 10.1016/j.cam.2018.04.062
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Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line

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Cited by 127 publications
(98 citation statements)
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“…Our results are novel and deal with some special situations. For example, letting α i =0( i =2,…, m ), BVP is reduced to the problem as previously studied by Wang . In the case, letting α i =0( i =1,2,…, m ), our results correspond to the nonlinear Hadamard‐type fractional differential equation with multi‐point boundary conditions: xfalse(1false)=xfalse(1false)=0,1emHD1+α1xfalse(+false)=bj=1nσjxfalse(ξjfalse)3.0235ptfalse(b=constantfalse).…”
Section: Resultsmentioning
confidence: 99%
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“…Our results are novel and deal with some special situations. For example, letting α i =0( i =2,…, m ), BVP is reduced to the problem as previously studied by Wang . In the case, letting α i =0( i =1,2,…, m ), our results correspond to the nonlinear Hadamard‐type fractional differential equation with multi‐point boundary conditions: xfalse(1false)=xfalse(1false)=0,1emHD1+α1xfalse(+false)=bj=1nσjxfalse(ξjfalse)3.0235ptfalse(b=constantfalse).…”
Section: Resultsmentioning
confidence: 99%
“…Remark Since c ( t ) is unbounded on J , we obtain ffalse(t,false(1+false(lntfalse)3false/2false)xfalse) is unbounded when x is bounded (see Figure A). Hence, BVP cannot obtain the existence of positive solutions in Wang et al…”
Section: Examplementioning
confidence: 99%
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