On nonlinear neutral Liouville-Caputo-type fractional differential equations with Riemann-Liouville integral boundary conditions

• Autorzy: Ahmad Bashir , Ntouyas Sotiris K. , Alsaedi Ahmed

Identyfikatory

DOI

10.1515/jaa-2019-0013

• Języki publikacji: EN

Abstrakty

EN

This paper studies neutral Liouville-Caputo-type fractional differential equations and inclusions supplemented with nonlocal Riemann-Liouville-type integral boundary conditions. Sadovskii’s fixed point theorem is applied to establish the existence result for the single-valued case, while the multivalued case is investigated by using nonlinear alternative for contractive maps. Examples are constructed to illustrate the main results. The case of nonlinear nonlocal boundary conditions is also discussed.

Słowa kluczowe

EN

Liouville-Caputo fractional derivative; neutral equations; neutral inclusions; Riemann-Liouville integral; boundary conditions; existence

PL

pochodna ułamkowa Liouville'a-Caputo; równania neutralne; inkluzje neutralne; całka Riemanna-Liouville'a; warunki brzegowe; istnienie

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2019
• Tom: Vol. 25, nr 2
• Strony: 119--130
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Ahmad Bashir

• Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

autor

Ntouyas Sotiris K.

• Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece; and Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

autor

Alsaedi Ahmed

• Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Bibliografia

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• [2] B. Ahmad and R. Luca, Existence of solutions for sequential fractional integro-differential equations and inclusions with nonlocal boundary conditions, Appl. Math. Comput. 339 (2018), 516-534.
• [3] B. Ahmad and S. K. Ntouyas, Some fractional-order one-dimensional semi-linear problems under nonlocal integral boundary conditions, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 110 (2016), no. 1, 159-172.
• [4] B. Ahmad and S. K. Ntouyas, Boundary value problems of Hadamard-type fractional differential equations and inclusions with nonlocal conditions, Vietnam J. Math. 45 (2017), no. 3, 409-423.
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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).