On some qualitative properties of integrable solutions for Cauchy-type problem of fractional order

• Autorzy: Metwali M. M. A.

Identyfikatory

DOI

10.7862/rf.2017.8

• Języki publikacji: EN

Abstrakty

EN

The paper discusses the existence of solutions for Cauchy-type problem of fractional order in the space of Lebesgue integrable functions on bounded interval. Some qualitative properties of solutions are presented such as monotonicity, uniqueness and continuous dependence on the initial data. The main tools used are measure of weak (strong) noncompactness, Darbo fixed point theorem and fractional calculus.

Słowa kluczowe

EN

Cauchy problem; Darbo fixed point theorem; quadratic integral equations; measure of noncompactness

PL

problem Cauchy'ego; twierdzenie o punkcie stałym; twierdzenie Darbo; równania całkowe; miara niezwartości

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2017
• Tom: Vol. 40
• Strony: 121--p134
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Metwali M. M. A.

• Department of Mathematics, Faculty of Sciences, Damanhour University, Egypt-

Bibliografia

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Uwagi

PL

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