On the existence of locally attractive solutions of a nonlinear quadratic Volterra integral equation of fractional order

Advances in Difference Equations

Volumn 2010, Issue , 2010, Pages

  Abbas, Mohamed I ^a  

^a Alexandria University Faculty Of Science   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79952130194     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1155/2010/127093     Document Type: Article

References (14)

1. Babakhani A., Daftardar-Gejji V., Existence of positive solutions of nonlinear fractional differential equations Journal of Mathematical Analysi (Pubitemid 36530147)
2. El Borai M. M., El-Sayed W. G., Abbas M. I., Monotonic solutions of a class of quadratic singular integral equations of Volterra type International Journal of Contemporary Mathematical Sciences 2007 2 14 89 102
3. El Borai M. M., Abbas M. I., Solvability of an infinite system of singular integral equations Serdica Mathematical Journal 2007 33 2-3 241 252
4. El Borai M. M., Abbas M. I., On some integro-differential equations of fractional orders involving Carathodory nonlinearities International Journal of Modern Mathematics 2007 2 1 41 52
5. Samko S. G., Kilbas A. A., Marichev O. I., Fractional Integrals and Derivatives: Theory and Applications 1993 Yverdon, Switzerland Gordon and Breach xxxvi+976
6. Srivastava H. M., Saxena R. K., Operators of fractional integration and their applications Applied Mathematics and Computation 2001 118 1 1 52 (Pubitemid 33592904)
7. Hu X., Yan J., The global attractivity and asymptotic stability of solution of a nonlinear integral equation Journal of Mathematical Analysis and Applications 2006 321 1 147 156 (Pubitemid 43664857)
8. Bana J., O'Regan D., On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order Journal of Mathematical Analysis and Applications 2008 345 1 573 582
9. Rzepka B., On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order Topological Methods in Nonlinear Analysis 2008 32 1 89 102
10. Kilbas A. A., Trujillo J. J., Differential equations of fractional order: methods, results and problems. I Applicable Analysis 2001 78 1-2 153 192
11. Miller K. S., Ross B., An Introduction to the Fractional Calculus and Fractional Differential Equations 1993 New York, NY, USA John Wiley Sons xvi+366
12. Podlubny I., Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications 1999 198 San Diego, Calif, USA Academic Press xxiv+340 Mathematics in Science and Engineering
13. Dugundji J., Granas A., Fixed Point Theory. I 1982 61 Warsaw, Poland Pastwowe Wydawnictwo Naukowe 209 Monografie Matematyczne
14. Dhage B. C., Nonlinear functional boundary value problems in Banach algebras involving Carathodories Kyungpook Mathematical Journal 2006 46 4 527 541