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Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions

Mohammed H. AqlanAhmed AlsaediBashir AhmadJuan J. Nieto — 2016

Open Mathematics

We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions. Several existence criteria depending on the nonlinearity involved in the problems are presented by means of a variety of tools of the fixed point theory. The applicability of the results is shown with the aid of examples. Our results are not only new in the given configuration...

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