Kadejo Ojo - Academia.edu (original) (raw)
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Papers by Kadejo Ojo
Advances in Differential Equations and Control Processes, 2024
In this work, we use the Ge and Ren extension of Mawhin’s coincidence degree theory to investigat... more In this work, we use the Ge and Ren extension of Mawhin’s
coincidence degree theory to investigate the solvability of the
p-Laplacian fractional order boundary value problem of the form
(f ( a ( )))¢
p D0+x t
( , ( ), ( ), ( ), ( ), 0 ( )), (0, ),
1
0
2
0
3
0 = a Î +¥
- a-
- a-
- a-
f t x t D + x t D x t D x t D x t t
Journal of Mathematics and Computer Science, 2024
This paper derives existence results for a resonant fractional order differential equation with t... more This paper derives existence results for a resonant fractional order differential equation with two-dimensional kernel on the half-line using coincidence degree theory. Fractional calculus of Riemann-Liouville type is adopted in the study. The results obtained are illustrated with an example.
Engineering Letters, 2023
This paper investigates existence of solutions of a resonant fractional order boundary value prob... more This paper investigates existence of solutions of a resonant fractional order boundary value problem with multipoint and Riemann-Stieltjes integral boundary conditions on the half-line with two-dimensional kernel. We utilised Mawhin's coincidence degree theory to derive our results. The results obtained are validated with examples.
Scientific African, 2024
In this paper, by using the Ge and Ren extension of coincidence degree theory, we established th... more In this paper, by using the Ge and Ren extension of coincidence degree theory, we established
the existence of a solution for a resonant mixed fractional order p-Laplacian boundary value
problem (BVP) on the half-line. In the process, we solved the corresponding homogeneous
fractional order BVP for conditions critical for resonance and showed that the operator 𝐴(𝑥, 𝜆)(𝑡)
constructed from the abstract equation 𝑀𝑥(𝑡) = 𝑁𝑥(𝑡) is relatively compact. The results are
demonstrated with an example.
Recurrence relations is one of the fundamental Mathematical tools of computation as most computat... more Recurrence relations is one of the fundamental Mathematical tools of computation as most computational tasks rely on recursive techniques at one time or the other. In this paper, we present some important theorems on recurrence relations and give more simplified approach of determining an explicit formula for a given recurrence relation subject to specified boundary values (initial conditions). We recursively apply Recurrence Relation technique to model Economic wealth decay as a result of recession. We show both numerical computation and graphical representation of our simple model and analysis of market price dynamics due to Economic recession.
Advances in Differential Equations and Control Processes, 2024
In this work, we use the Ge and Ren extension of Mawhin’s coincidence degree theory to investigat... more In this work, we use the Ge and Ren extension of Mawhin’s
coincidence degree theory to investigate the solvability of the
p-Laplacian fractional order boundary value problem of the form
(f ( a ( )))¢
p D0+x t
( , ( ), ( ), ( ), ( ), 0 ( )), (0, ),
1
0
2
0
3
0 = a Î +¥
- a-
- a-
- a-
f t x t D + x t D x t D x t D x t t
Journal of Mathematics and Computer Science, 2024
This paper derives existence results for a resonant fractional order differential equation with t... more This paper derives existence results for a resonant fractional order differential equation with two-dimensional kernel on the half-line using coincidence degree theory. Fractional calculus of Riemann-Liouville type is adopted in the study. The results obtained are illustrated with an example.
Engineering Letters, 2023
This paper investigates existence of solutions of a resonant fractional order boundary value prob... more This paper investigates existence of solutions of a resonant fractional order boundary value problem with multipoint and Riemann-Stieltjes integral boundary conditions on the half-line with two-dimensional kernel. We utilised Mawhin's coincidence degree theory to derive our results. The results obtained are validated with examples.
Scientific African, 2024
In this paper, by using the Ge and Ren extension of coincidence degree theory, we established th... more In this paper, by using the Ge and Ren extension of coincidence degree theory, we established
the existence of a solution for a resonant mixed fractional order p-Laplacian boundary value
problem (BVP) on the half-line. In the process, we solved the corresponding homogeneous
fractional order BVP for conditions critical for resonance and showed that the operator 𝐴(𝑥, 𝜆)(𝑡)
constructed from the abstract equation 𝑀𝑥(𝑡) = 𝑁𝑥(𝑡) is relatively compact. The results are
demonstrated with an example.
Recurrence relations is one of the fundamental Mathematical tools of computation as most computat... more Recurrence relations is one of the fundamental Mathematical tools of computation as most computational tasks rely on recursive techniques at one time or the other. In this paper, we present some important theorems on recurrence relations and give more simplified approach of determining an explicit formula for a given recurrence relation subject to specified boundary values (initial conditions). We recursively apply Recurrence Relation technique to model Economic wealth decay as a result of recession. We show both numerical computation and graphical representation of our simple model and analysis of market price dynamics due to Economic recession.