Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses

By Akbar Zada, Wajid Ali, S. Farina. 2017

97 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/63e7d4d448da9b020ff86cd0f3c0c1efe7730c7e

Citations in the corpus

• Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric (2018, unknown): “Moreover, suppose that f :1⁄2a; b ×C×C×C→C is a continuous function satisfying the Lipschitz condition f ðx; uðxÞ; uðαðxÞÞ; gðxÞÞ− f ðx; vðxÞ; vðαðxÞÞ; hðxÞÞ j j≤M juðxÞ−vðxÞj þ juðαðxÞÞ−vðαðxÞÞj þ jgðxÞ−hðxÞj ð Þ (36) with M>0 and the kernel k:1⁄2a; b ×1⁄2a; b ×C×C→C is a continuous kernel function”