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

100%

Aqlan M. H., Alsaedi A., Ahmad B., Nieto J. J.

Open Mathematics

2016

tom 14

nr 1

723-735

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 but also yield some new special cases for specific choices of parameters involved in the problems.

Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions

84%

Olszowy L.

Open Mathematics

2014

tom 12

nr 4

623-635

This paper is concerned with the existence of mild solutions for impulsive semilinear differential equations with nonlocal conditions. Using the technique of measures of noncompactness in Banach and Fréchet spaces of piecewise continuous functions, existence results are obtained both on bounded and unbounded intervals, when the impulsive functions and the nonlocal item are not compact in the space of piecewise continuous functions but they are continuous and Lipschitzian with respect to some measure of noncompactness, and the linear part generates only a strongly continuous evolution system.

Ograniczanie wyników

2 Open Mathematics

1 Ahmad B.

1 Alsaedi A.

1 Aqlan M. H.

1 Nieto J. J.

1 Olszowy L.

1 2016

1 2014

Wyniki wyszukiwania

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

Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions