Continuous solutions of some fractional order integral equations

• Autorzy: Salem H. A. H. , El-Sayed A. M. A. , Moustafa O. L.
• Języki publikacji: EN

Abstrakty

EN

In this paper, Schauder fixed point theorem is used to prove an existence of positive continuous solutions for the nonlinear fractional order integral equation x(t) = h(t) + λ I^α (ƒ(x(t)) + g(x(t))), t ϵ [0, 1], α > 0 (E), where ƒ and g are nonlinear continuous functions and ƒ is nondecreasing while g is nonincreasing. Also the existence of maximal and minimal solutions of (E) will be proved. Some fractional order differential equations will be considered.

Słowa kluczowe

EN

fractional calculus; existence theorem; maximal solutions; minimal solutions

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2002
• Tom: [Z] 42(2)
• Strony: 209--220
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Salem H. A. H.

• Department of Mathematics, Faculty of Science, Alexandria University, Egypt

autor

El-Sayed A. M. A.

• Department of Mathematics, Faculty of Science, Alexandria University, Egypt

autor

Moustafa O. L.

• Department of Mathematics, Faculty of Science, Alexandria University, Egypt

Bibliografia

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