Browsing Mathematics and Statistics-Research Publications by Title
Now showing items 29-48 of 208
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Cryptanalysis and Improved Image Encryption Scheme Using Elliptic Curve and Affine Hill Cipher
(MDPI, 2022-10-20)In the present era of digital communication, secure data transfer is a challenging task in the case of open networks. Low-key-strength encryption techniques incur enormous security threats. Therefore, efficient cryptosystems ... -
Cubic-Quartic Optical Solitons in Fiber Bragg Gratings with Dispersive Reflectivity Having Parabolic Law of Nonlinear Refractive Index by Lie Symmetry
(MDPI, 2022-11-11)This work recovers cubic-quartic optical solitons with dispersive reflectivity in fiber Bragg gratings and parabolic law of nonlinearity. The Lie symmetry analysis first reduces the governing partial differential equations ... -
Cubic-quartic optical solitons with Kudryashov's law of refractive index by Lie symmetry analysis
(Elsevier GmbH, 2021-05-29)In this work, Kudryashov's equation with third-order dispersion and fourth-order dispersion was studied via Lie symmetry analysis. First, similarity transformation helps us to converted governing equation into a system of ... -
Cubic�Quartic Optical Soliton Perturbation with Differential Group Delay for the Lakshmanan�Porsezian�Daniel Model by Lie Symmetry
(MDPI, 2022-01-26)This paper employs Lie symmetry analysis to recover cubic�quartic optical soliton solutions to the Lakshmanan�Porsezian�Daniel model in birefringent fibers. The results are a sequel to the previously reported work on the ... -
Cubic�quartic optical solitons in fiber Bragg gratings with Kerr law of nonlinearity and dispersive reflectivity by Lie symmetry
(Elsevier GmbH, 2022-09-12)The present study derives cubic�quartic optical solitons in fiber Bragg gratings having Kerr law of nonlinearity along with dispersive reflectivity. The Lie symmetry analysis collapses the coupled partial differential ... -
A diagnostic and prognostic value of blood-based circulating long non-coding RNAs in thyroid, pancreatic and ovarian cancer
(Elsevier Ireland Ltd, 2022-01-13)Several studies have demonstrated the potential of circulating long non-coding RNAs (lncRNAs) as promising cancer biomarkers. Herein, we addressed the regulatory role of circulating lncRNAs and their potential value as ... -
Different analytical approaches for finding novel optical solitons with generalized third-order nonlinear Schr�dinger equation
(Elsevier B.V., 2021-08-29)In this paper, we looked into the generalized third-order nonlinear Schr�dinger equation (NLSE). This model has a wide range of applications, including ultra-short pulses in optical fibers. Different analytical approaches ... -
Dispersion analysis and improved F-expansion method for space–time fractional differential equations
(Springer, 2019)In this article, an improved F-expansion method with the Riccati equation is suggested for space–time fractional differential equations for exact solutions. The fractional complex transformation is used to convert the ... -
Dispersion analysis and improved F-expansion method for space–time fractional differential equations
(Springer Netherlands, 2019)In this article, an improved F-expansion method with the Riccati equation is suggested for space-time fractional differential equations for exact solutions. The fractional complex transformation is used to convert the ... -
Doubly periodic wave structure of the modified Schr�dinger equation with fractional temporal evolution
(Elsevier B.V., 2022-01-01)Abundant Jacobi elliptic type solutions with distinct physical structures of complex nonlinear conformable time-fractional modified Schr�dinger equation are obtained by using the generalized Jacobi elliptic function (GJEF) ... -
Dynamics of cholera disease by using two recent fractional numerical methods
(Mehmet Yavuz, 2021-12-22)In this paper, we simulate an epidemic model of cholera disease in the sense of generalized Liouville-Caputo fractional derivative. We provide the results related to the existence of a unique solution by using some well-known ... -
Embedded Solitons and Conservation Law with χ (2) and χ (3) Nonlinear Susceptibilities
(2017)This paper studies embedded solitons that are confined to continuous spectrum, with χ (2) and χ (3) nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficient ... -
Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative
(Elsevier Ltd, 2021-01-21)In this article, we studied the outcomes of environmental transmission for infection dynamics of a debilitating protozoan parasite (Ophryocystis elektroscirrha) that infects monarch butterflies (Danaus plexippus) via new ... -
Estimation after selection from bivariate normal population with application to poultry feeds data
(Hacettepe University, 2022-07-19)In many practical situations, it is often desired to select a population (treatment, product, technology, etc.) from a choice of several populations on the basis of a particular characteristic that associated with each ... -
Exact Series Solutions and Conservation Laws of Time Fractional Three Coupled KdV System
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)The explicit series solutions of fractional�order nonlinear three�coupled KdV system are investigated by using power series expansion and group analysis. The nontrivial and nonlocal conservation laws are also determined ... -
Exact solutions for nonlinear evolution equations using novel test function
(Springer Netherlands, 2016)Based on Bell polynomials approach, in this paper we have used Maple computer algebra package PDEBellII for constructing bilinear equations for some nonlinear evolution equations. Bilinear equations are then used to construct ... -
Exact Solutions of Some Complex Non-Linear Equations," Lecture Notes in Engineering and Computer Science
(Newswood Limited, 2018)Exact solutions of the coupled Higgs and Maccari system are obtained. Travelling wave solutions of coupled Higgs equation and Maccari system in the form of Jacobi’s elliptical functions are presented. -
Existence and stability results for fractional-order pantograph differential equations involving Riemann-Liouville and Caputo fractional operators
(Springer Science and Business Media Deutschland GmbH, 2022-09-12)In this present manuscript, the existence and uniqueness of solution for fractional-order pantograph differential equations with Riemann-Liouville and Caputo fractional operators are investigated by using Banach�s fixed ... -
Existence and stability results for nonlocal boundary value problems of fractional order
(Springer Science and Business Media Deutschland GmbH, 2022-04-18)In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary value problem (BVP) using Caputo fractional derivative (CFD). We derive Green�s function and give some estimation for it to derive ... -
Existence and stability results of pantograph equation with three sequential fractional derivatives
(American Institute of Mathematical Sciences, 2022-12-14)The subject of this work is the existence and Mittag-Leffler-Ulam (MLU) stability of solutions for fractional pantograph equations with three sequential fractional derivatives. Sufficient conditions for the existence and ...