Solution of Fractional Order Equations in the Domain of the Mellin Transform

Fadugba, Sunday Emmanuel

doi:10.46481/jnsps.2019.31

Cited by 13 publications

(9 citation statements)

References 10 publications

(4 reference statements)

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“…Also, to have more new hypotheses under present assessments, new extension and applications can be investigated with some positive and novel results in different fields of science, particularly, in GFT. For more details about the applications, one may go through [32,33].…”

Section: Discussionmentioning

confidence: 99%

On Lemniscate of Bernoulli of q-Janowski type

Saliu

Oladejo

2022

J. Nig. Soc. Phys. Sci.

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In this article, we introduce the q-analogue of functions characterized by the lemniscate of Bernoulli in the right-half plane and define the class $\mathbb{L}^{\ast}_{q}(A, B)$. Furthermore, we study the geometric properties of this class, which include coefficient inequalities, subordination factor sequence property, radii results and Fekete-Szeg$\ddot{\textup{o}}$ problems. Some deductions of our results show relevant connections between this present work and the existing ones in many literature. It is worthy of note that some of our results are sharp.

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Section: Discussionmentioning

confidence: 99%

On Lemniscate of Bernoulli of q-Janowski type

Saliu

Oladejo

2022

J. Nig. Soc. Phys. Sci.

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“…The results show that the presented method was efficient and applicable. Fadugba [21] presented the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.…”

Section: Introductionmentioning

confidence: 99%

Collocation Approach for the Computational Solution Of Fredholm-Volterra Fractional Order of Integro-Differential Equations

Ajileye

James

Abdullahi

et al. 2022

J. Nig. Soc. Phys. Sci.

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In this work, a collocation technique is used to determine the computational solution to fractional order Fredholm-Volterra integro-differential equations with boundary conditions using Caputo sense. We obtained the linear integral form of the problem and transformed it into a system of linear algebraic equations using standard collocation points. The matrix inversion approach is adopted to solve the algebraic equation and substituted it into the approximate solution. We established the uniqueness and convergence of the method and some modelled numerical examples are provided to demonstrate the method’s correctness and efficiency. It is observed that the results obtained by our new method are accurate and performed better than the results obtained in the literature. The study will be useful to engineers and scientists. It is advantageous because it addresses the difficulty in tackling fractional order Fredholm-Volterra integro-differential problems using a simple collocation strategy. The approach has the advantage of being more accurate and reducing computer running time.

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Section: Introductionmentioning

confidence: 99%

“…Practical dynamics phenomena from real life situations were described by differential and integral equations of non-integer order, see [1][2][3][4][5][6][7][8][9][10][11][12], just to mention a few. According to [13][14][15], iterative methods for differential equations of different classes were used widely. The scope of this study captures the use of non-integer iterative method for direct solution of the PDE models in the sense of Caputo fractional operator.…”

Section: Introductionmentioning

confidence: 99%

Direct Solution of the Black-Scholes PDE Models with Non-Integer Order

Ogunyebi

Fadugba

Ogunlade

et al. 2022

J. Phys.: Conf. Ser.

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This paper presents a direct solution of Black-Scholes PDE models with non-integer order via the non-integer iterative method. The Black-Scholes PDE models of non-integer order became popular and accepted globally by option traders for the valuation of financial derivatives over the period of time and the study of its numerical approaches has a wide range of applications in the real world.. The performance of the method has been confirmed and measured.

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Solution of Fractional Order Equations in the Domain of the Mellin Transform

Cited by 13 publications

References 10 publications

On Lemniscate of Bernoulli of q-Janowski type

On Lemniscate of Bernoulli of q-Janowski type

Collocation Approach for the Computational Solution Of Fredholm-Volterra Fractional Order of Integro-Differential Equations

Direct Solution of the Black-Scholes PDE Models with Non-Integer Order

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