Articles | Nigerian Journal of Mathematics and Applications

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Research Article DOI: 10.67897/njma.2026.274l2dsn

Radial Solution of the Monge-Amp`ere Equation on R3 and R4

Riadh JELLOUL^*

In this paper, we determine radial solutions of the Monge-Amp`ere equation on R3 and R4 using a symplectic changeof variables. This transformation simplifies the formulationof the equation and allows it to be expressed in radialform, thereby reducing the problem to an associated ordinarydifferential equation. The existence and uniqueness of thesolutions are established and explicit expressions are...

Apr, 2026 pp. 1-7 26 views 14 downloads

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Research Article DOI: 10.67897/njma.2025.ouxb5w0m

Double-Blinded One-Time-Password Key Generation for Authentication in Internet of Things (IoT)

A. J. Saka^*, Segun Aina, Omolara Aminat Ogungbe, Kehinde Adam Olurode, Ishaya Peni Gambo, Oluwafemi Joshua David, K. Rauf

This paper is proposing a novel technique that generates an unpredictable digit-size at every time of authentication. In this technique, neither the authentic user nor the hacker can have the prior knowledge of the digit-size not to think of the combinatorial (sequence or random order) of the anticipated keys. Indeed, this is simply referred to as Double-Blinded One-Time Password Key Generation (D...

Jun, 2025 pp. 1-15 22 views 9 downloads

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Research Article DOI: 10.67897/njma.2024.bt0wmaml

A new collocation approach for a numerical treatment of multi order fractional differential equations

K. A. Bello^*, A. Abdulkareem, O. T. Olotu, A. Abubakar, M. A. Adeyanju

This paper discusses the numerical solution of multi-order fractional differential equations by Exponentially fitted collocation method using two basis functions, namely, the Bernoulli polynomial and shifted Legendre polynomials. The fractional derivatives are expressed in the Caputo sense. The assumed solution is substituted into the problem considered an then manipulated. The resulting equation ...

Jun, 2024 pp. 1-19 5 views 1 downloads

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Research Article DOI: 10.67897/njma.2022.x7af8ch8

Remarks on L p -CKN Interpolation Inequalities of Hardy and Rellich Types on the Sphere

A. Abolarinwa^*, Kamilu RAUF, S. Yin

We prove a new family of L p -Caffarelli-Kohn-Nirenberg (CKN) interpolation inequalities with sharp constants on the unit sphere of dimension greater than or equal to two. Consequently, several sharp Hardy type inequalities are obtained as special cases. Moreover, the same method is adopted to establish a new class of Hardy-Rellich type inequalities on the sphere, though, uncertain whelther or not...

Dec, 2022 pp. 1-13 8 views 7 downloads

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Research Article DOI: 10.67897/njma.2022.e25u3qnn

Multifunctional Opial-type Integral Inequalities

Kamilu RAUF^*, O. Anthonio, A. Abolarinwa, E. E. Aribike

Some new estimates on integral inequalities of Opial-type for multifunctions are established through some analytic methods. In special cases, the results derived in this paper yield some recently obtained results on Opial’s inequality. Moreover, more results of Opial-type inequality which extend some known results in the literature are also derived.

Jun, 2022 pp. 1-13 13 views 6 downloads

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Research Article DOI: 10.67897/njma.2021.0ch8iftv

Comparison of Some Notions of Orthogonality in Banach Spaces

R. U. Kann^*, Kamilu RAUF, O. O. Bamisile, A. K. Adio, J. F. Adelodun

Orthogonality concept is a powerful mathematical tool that makes possible the formulation of some mathematical conjectures to prove some important theorems in Mathematics for the solution of real and imaginary problems. There are different notions of orthogonality in normed linear spaces. The concept of orthogonality has certain properties- symmetry, homogeneity, additivity and so on. In this work...

Jul, 2021 pp. 1−21 12 views 2 downloads

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Research Article DOI: 10.67897/njma.2020.13n1o0c4

Subclasses of Partial Contraction Mapping in Semigroup of Linear Operators

Kamilu RAUF^*, Akinola Yussuff Akinyele, Samuel O. Makanjuola

Some properties of C0-Semigroup are investigated and are used to derive some characteristics of ω-Order Preserving and Reversing Partial Contraction Mapping where homo geneous, inhomogeneous and regularity of mild solution for analytic semigroups are engaged. Furthermore, the new sub classes performed exactly like semigroup of linear operators.

Mar, 2020 pp. 1-17 18 views 6 downloads

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Research Article DOI: 10.67897/njma.2019.c9lcx57e

Global Solvability of Navier-Stokes Equations with Temperature in Infinite Channel

Peter Anthony^*, D. Hyuk Isaac, S. Magaji Abubakar, M. Gyuk Philibus

This paper determines the global, in time, solvability ofNavier-Stokes equation coupled with temperature in a Poincare-like unbounded domain. Existence, uniqueness and furtherregularity of solutions were obtained for the full Bousinesqsystem in uniformly local spaces. We have used themaximum principle for temperature to establish the cardinalproperties of this illusive phenomena of turbulence.

Dec, 2019 pp. 1-17 24 views 18 downloads

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Research Article DOI: 10.67897/njma.2019.xt50tzvn

Efficient k-Derivative Methods for Lane-Emden Equations and Related Stiff Problems

M. O. Ogunniran^*, Y. Haruna, R. B. Adeniyi

Lane-Emden equations are one of singular classes of problems in mathematical physics. Existing methods for this class of problems are series and analytical methods. This study focuses on the exploration of the possibility of a class of multi-derivative methods for approximating its solution. Taylor’s series expansion was applied on a new multi-derivative backward differenti ation formula to obtain...

Apr, 2019 pp. 1−17 16 views 6 downloads

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Research Article DOI: 10.67897/njma.2018.5c0c6nlu

Chemical reaction effects on hydromagnetic flow of a radiating and dissipative fluid past a tilted stretching sheet

Peter F. FASOGBON^*, Rasheed A ADETONA

This paper probes into the chemical reaction e ects on steadyhydromagnetic ow of an incompressible viscous electricallyconducting, radiating and dissipative uid past a tilted stretchingsheet in the presence of heat source. The governing boundarylayer equations are first transformed into a non-dimensional formusing suitable similarity variables and the resulting system ofordinary di erential equati...

Jun, 2018 pp. 1-16 8 views 4 downloads