Temat: fractional differential equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence and uniqueness results for fractional differential equations with boundary value conditions
Autorzy:: Lv, L.
Wang, J.
Wei, W.
Powiązania:: https://bibliotekanauki.pl/articles/254863.pdf
Data publikacji:: 2011
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: fractional differential equations
boundary value conditions
singular Gronwall inequality
existence
uniqueness
Opis:: In this paper, we study the existence and uniqueness of fractional differential equations with boundary value conditions. A new generalized singular type Gronwall inequality is given to obtain important a priori bounds. Existence and uniqueness results of solutions are established by virtue of fractional calculus and fixed point method under some weak conditions. An example is given to illustrate the results.
Źródło:: Opuscula Mathematica; 2011, 31, 4; 629-643
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces
Autorzy:: Wang, J.
Yang, Y.
Wei, W.
Powiązania:: https://bibliotekanauki.pl/articles/255546.pdf
Data publikacji:: 2010
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: nonlocal conditions
impulsive equations
fractional differential equations
time-varying generating operators
PC-mild solution
Opis:: In this paper, we study the existence and uniqueness of the PC-mild solution for a class of impulsive fractional differential equations with time-varying generating operators and nonlocal conditions. By means of the generalized Ascoli-Arzela Theorem given by us and the fixed point theorem, some existence and uniqueness results are obtained. Finally, an example is given to illustrate the theory.
Źródło:: Opuscula Mathematica; 2010, 30, 3; 361-381
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On some impulsive fractional differential equations in Banach spaces
Autorzy:: Wang, J.
Wei, W.
Yang, Y.
Powiązania:: https://bibliotekanauki.pl/articles/255610.pdf
Data publikacji:: 2010
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: fractional differential equations with impulses
nonlinear impulsive singular version of the Gronwall inequality
PC-mild solutions
existence
Opis:: This paper deals with some impulsive fractional differential equations in Banach spaces. Utilizing the Leray-Schauder fixed point theorem and the impulsive nonlinear singular version of the Gronwall inequality, the existence of PC-mild solutions for some fractional differential equations with impulses are obtained under some easily checked conditions. At last, an example is given for demonstration.
Źródło:: Opuscula Mathematica; 2010, 30, 4; 507-525
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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