Weak solutions of fractional order differential equations via Volterra-Stieltjes integral operator

• Autorzy: El-Sayed A. M. A. , El-Sayed W. G. , Abd El-Mowla A. A. H.

Identyfikatory

DOI

10.7862/rf.2017.6

• Języki publikacji: EN

Abstrakty

EN

The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21]). In this paper, we study the existence of weak solutions for fractional differential equations of Riemann-Liouville and Caputo types. We depend on converting of the mentioned equations to the form of functional integral equations of Volterra-Stieltjes type in reflexive Banach spaces.

Słowa kluczowe

EN

weak solution; mild solution; weakly Riemann-Stieltjes integral; function of bounded variation; Banach space

PL

rozwiązanie całkowe; całka Riemanna-Stieltjesa; funkcja o ograniczonej zmienności; przestrzeń Banacha

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2017
• Tom: Vol. 40
• Strony: 85--96
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

El-Sayed A. M. A.

• Faculty of Science, Alexandria University, Alexandria, Egypt

autor

El-Sayed W. G.

• Faculty of Science, Alexandria University, Alexandria, Egypt

autor

Abd El-Mowla A. A. H.

• Faculty of Science, Omar Al-Mukhtar University, Derna, Libya

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).