dc.contributor.author |
Ali, Nigar
|
|
dc.contributor.author |
Shah, Kamal
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|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Arif, Muhammad
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|
dc.contributor.author |
Khan, Rahmat Ali
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|
dc.date.accessioned |
2019-12-16T13:28:02Z |
|
dc.date.available |
2019-12-16T13:28:02Z |
|
dc.date.issued |
2017-08-03 |
|
dc.identifier.citation |
Ali, Nigar...et al. (2017) Study of a class of arbitrary order differential equations by a coincidence degree method, Boundary Value Problems |
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dc.identifier.issn |
1687-2770 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/2152 |
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dc.description.abstract |
In this manuscript, we investigate some appropriate conditions which ensure the existence of at least one solution to a class of fractional order differential equations (FDEs) provided by
{-(C)D(q)z(t) = theta(t,z(t)); t is an element of J = [0, 1], q is an element of (1, 2],
z(t)vertical bar(t=theta) = phi(z), z(1) = delta(C)D(p)z(eta), p,eta is an element of(0, 1).
The nonlinear function theta : J x R -> R is continuous. Further, delta is an element of(0, 1) and phi is an element of C(J, R) is a non-local function. We establish some adequate conditions for the existence of at least one solution to the considered problem by using Gronwall's inequality and a priori estimate tools called the topological degree method. We provide two examples to verify the obtained results. |
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dc.language.iso |
eng |
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dc.publisher |
Springer Open |
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dc.relation.isversionof |
10.1186/s13661-017-0841-6 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Fractional Order Differential Equations |
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dc.subject |
Caputo Derivative |
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dc.subject |
Condensing Operator |
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dc.subject |
Gronwall's İnequality |
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dc.subject |
Topological Degree Method |
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dc.title |
Study of a class of arbitrary order differential equations by a coincidence degree method |
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dc.type |
article |
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dc.relation.journal |
Boundary Value Problems |
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dc.contributor.authorID |
56389 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü |
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