A Generalized Henstock-type Integral for Gronwall-Bellman’s Type Inequality

  • Victor O. Iluebe Department of Mathematics, Anchor University, Lagos Research Group in Mathematics and Applications, University of Lagos. Lagos, Nigeria
  • Adesanmi A. Mogbademu Department of Mathematics, University of Lagos, Lagos, Nigeria
  • Sever S. Dragomir Mathematics, College of Engineering and Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia
  • Joshua O. Ajilore Department of Mathematical Sciences, Lagos State University of Science and Technology, Ikorodu, Lagos, Nigeria
Keywords: Henstock integral, Sequential Henstock integrals, Continuous functions, guage functions.

Abstract

In this paper, we establish some results involving the Generalized Henstock-type integral which generalizes Gronwall-Bellman’s Type Inequality and discuss its applicability to some stochastic differential equations.

MSC 2020: 28B15, 46G10

Published
2026-05-15
How to Cite
Iluebe, V. O., Mogbademu, A. A., Dragomir, S. S., & Ajilore, J. O. (2026). A Generalized Henstock-type Integral for Gronwall-Bellman’s Type Inequality . Journal of Scientific Research and Development, 25(1), 89-103. Retrieved from https://jsrd.unilag.edu.ng/article/view/3227
Issue
Vol 25 No 1 (2026): 2026 EDITION
Section
Articles