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Journal of Mathematics, Physics and Mechanics

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Application of the J -Transform for Solving Volterra Integral Equations of the First and Second Kind
Research Article - Volume: 1, Issue: 1, 2026 (September)
Application of the J -Transform for Solving Volterra Integral Equations of the First and Second Kind Download PDF
Aminu Salisu Taambu1*, Habibu Muhammad Haris2, Karuna Laddha3, Bashir Danladi Garba4
Department of Mathematics, Mewar University, Gangrar, India
Department of Mathematics, Mewar University, Gangrar, India
Department of Mathematics, Mewar University, Gangrar, India
Aliko Dangote University of Science and Technology, Wudil, Nigeria
*Correspondence to: Habibu Muhammad Haris, Department of Mathematics, Mewar University, Gangrar, India, E-Mail:
Received: July 23, 2026; Manuscript No: JMPM-26-7607; Editor Assigned: July 28, 2026; PreQc No: JMPM-26-7607(PQ); Reviewed: July 31, 2026; Revised: August 01, 2026; Manuscript No: JMPM-26-7607(R); Published: September 09, 2026

ABSTRACT

This paper presents a new use of the J -transform to solve both first and second kind Volterra integral equations. Several examples are provided to support the methodological applicability and efficiency. The empirical evidence shows that the transform of the form of a J - is a powerful and effective tool of solving Volterra integral equations in applied mathematics and also in the field of engineering.

Keywords: Volterra Integral Equations; J -Transform; Convolution Theorem; Integral Transforms; Operational Calculus

Citation: Taambu AS, Haris HM, Laddha K, Garba BD (2026). Application of the J -Transform for Solving Volterra Integral Equations of the First and Second Kind. J. Math. Phys. Mech. Vol.1 Iss.1, September (2026), pp:8-23.
Copyright: © 2026 Aminu Salisu Taambu, Habibu Muhammad Haris, Karuna Laddha, Bashir Danladi Garba. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.