Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations

By Qinghua Ma, Josip E. Pecaric. 2008

67 citations recorded by the source corpus.

Abstract Some new weakly singular integral inequalities of Gronwall–Bellman type are established, which generalized some known weakly singular inequalities and can be used in the analysis of various problems in the theory of certain classes of differential equations, integral equations and evolution equations. Some applications to fractional differential and integral equations are also indicated.

Subfields: Applied Mathematics, Mechanics of Materials, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/e50786ceb1132081933bc2669246863763d2f1b8

Citations in the corpus

• A survey of useful inequalities in fractional calculus (2017, unknown): “ID 549, 9 pp. [35] Q.-H. Ma and J. Pecaric, Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations.”