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

• Autorzy: Mohammed H. Aqlan , Ahmed Alsaedi , Bashir Ahmad , Juan J. Nieto
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Sequential fractional differential equations; Liouville-Caputo; Anti-periodic; Nonlocal; Existence; Fixed point

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems
• 34A08: Fractional differential equations
• 34B10: Nonlocal and multipoint boundary value problems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 723-735

Daty

wydano

2016-01-01

otrzymano

2016-04-12

zaakceptowano

2016-07-27

online

2016-10-16

Twórcy

autor

Mohammed H. Aqlan

• Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589,

autor

Ahmed Alsaedi

• Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589,

autor

Bashir Ahmad

• Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589,

autor

Juan J. Nieto

• Analisis Matematico, Facultad de Matematicas, University of Santiago de Compostela, Santiago de Compostela, 15782,

Identyfikatory

DOI

10.1515/math-2016-0064