A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations
2014 ◽
Vol 17
(2)
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Keyword(s):
AbstractThis paper is concerned with the existence and uniqueness of solutions for a coupled system of Hadamard type fractional differential equations and integral boundary conditions. We emphasize that much work on fractional boundary value problems involves either Riemann-Liouville or Caputo type fractional differential equations. In the present work, we have considered a new problem which deals with a system of Hadamard differential equations and Hadamard type integral boundary conditions. The existence of solutions is derived from Leray-Schauder’s alternative, whereas the uniqueness of solution is established by Banach’s contraction principle. An illustrative example is also included.
2011 ◽
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pp. 2122-2130
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2020 ◽
Vol 1597
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pp. 012054
2017 ◽
Vol 226
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pp. 3551-3566
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