This work finds several new traveling wave solutions for nonlinear directional couplers with optical metamaterials by means of the modified Kudryashov method. model can be used to distribute light from a main fiber into one or more branch fibers. Two forms are considered, namely twin- and multiple- core couplers. These couplers, which have applications as intensity-dependent switches limiters, studied four items Kerr, power, parabolic, dual-power laws. The restrictions on parameters...

Abstract This research focuses on the design of a novel fractional model for simulating ongoing spread coronavirus (COVID-19). The is composed multiple categories named susceptible $$S(t)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>S</mml:mi> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> , infected $$I(t)$$ <mml:mi>I</mml:mi> treated $$T(t)$$ <mml:mi>T</mml:mi> and recovered $$R(t)$$ <mml:mi>R</mml:mi> with category...

The main aim of this article is to present some new exact solutions the resonant nonlinear Schrödinger equation. These are derived by using generated exponential rational function method (GERFM). kink‐type, bright, dark, and singular soliton reported, several numerical simulations also included. calculations carried out Maple software. All that in paper believed be have presumably not been reported earlier publications.

Generally, Melanoma, Merkel cell cancer, Squamous carcinoma, and Basal are the four major categories of skin cancers. In contrast to other cancer types, melanoma, a type affects lot people. Early identification prediction this can avoid risk spreading another part body which be treated cured effectively. The advancing machine learning deep approaches create an efficient computerized diagnosis system that assist physicians predict disease in much faster way, enable affected person identify it...

The stomach is usually considered as a hollow muscular sac, which initiates the second segment of digestion. It most sophisticated endocrine structure having unique biochemistry, physiology, microbiology, and immunology. pivotal aim present study to propose nonlinear mathematical model nervous system based on three compartments namely, tension ( T ), food F medicine M ). detailed description each compartment provided along with form different rates/factors, such sleep factor, rate, term,...

This work deals with finding new complex solitons to the perturbed nonlinear Schrödinger model help of an analytical method. Using several computation programs, we gain entirely considering model. Under choice suitable values parameters, density graphs reported solutions, such as complex, hyperbolic, trigonometric and exponential, are successfully presented. Simulations in various dimensions also plotted by using package programs.

In this study, a novel mathematical model based on third-order nonlinear multisingular functional differential equations (MS-FDEs) is presented. The designed solved by using well-known transformation (DT) scheme that very credible tool for solving the MS-FDEs. order to check exactness, efficacy, and convergence of scheme, some numerical examples are presented MS-FDEs numerically DT scheme. allows us find complete solution closed approximate equation. distinctive advantage computational...

In this paper, a modified nonlinear Schrödinger equation with spatiotemporal dispersion is formulated in the senses of Caputo fractional derivative and conformable derivative. A new generalized double Laplace transform coupled Adomian decomposition method has been defined applied to solve newly dispersion. The approximate analytical solutions are obtained compared each other graphically.

In this work, we make use of the conformable fractional differential transform method (CFDTM) in order to compute an approximate solution fractional‐order susceptible‐infected‐recovered (SIR) epidemic model childhood disease. The provides form a rapidly convergent series. Two explanatory and illustrative examples are given represent efficacy obtained results.

Abstract In this paper, we have extended the Fractional Differential Transform method for numerical solution of system fractional partial differential-algebraic equations. The equations order is solved by method. results exhibit that proposed very effective.

The research paper aims to investigate the space-time fractional cubic-quartic nonlinear Schrödinger equation in appearance of third, and fourth-order dispersion impacts without both group velocity dispersion, disturbance with parabolic law media by utilizing extended sinh-Gordon expansion method. This method is one strongest methods find exact solutions partial differential equations. In order confirm existing solutions, constraint conditions are used. We successfully construct various...

In this work, the researchers for computing an exact solution of (2[Formula: see text]+[Formula: text]1) dimensions Kundu–Mukherjee–Naskar (KMN) equation used a newly developed technique, namely, new extended direct algebraic method. This powerful method gives to KMN considered in paper. The results are and attest efficiency proposed

Abstract Precise and unambiguous segmentation of pulmonary nodules from the CT images is imperative for a CAD framework implementation delineated prognosis lung cancer. Lung nodule an appealing research discipline accurate dismemberment cancer but irregularity in shades, contours, compositions, affinity between tumors neighboring regions makes it arduous task. This paper proffers series atrous convolution enhanced U‐Net which uses concatenated dilated blocks after every stage encoder decoder...

Determining the exact solution to partial differential equations has been one of most important concerns scientists in various centuries. This paper applies generalized exponential rational function method a new extension nonlinear Schrödinger equation. Many analytical solutions are retrieved by choosing suitable coefficients parameters under different family cases. Some surfaces results such as imaginary part, real and their modulus also depicted with help computational packet program....

The classical set theory based on crisp sets is not able to deal with uncertainties which a common feature of various real-world problems. This problem solved using modified forms such as fuzzy sets, Intuitionistic neutrosophic soft and hypersoft others along their hybrids. In this paper, hybrid named Fermatean Neutrosophic Soft ($FrNSS$) established. Basic entities including subsets, null set, universal different operators are defined. With respect these operators, the algebraic structures...

Purpose The purpose of this paper is to investigate the existence, uniqueness and stability solutions a class Riemann–Liouville fractional differential equations with anti-periodic boundary conditions variable order (R-LFDEAPBCVO). study utilizes standard fixed point theorems (FiPoTh) establish existence solutions. Additionally, Ulam-Hyers-Rassias (Ul-HyRa) considered problem examined. obtained results are supported by an illustrative example. This research contributes understanding...

This paper constructs approximate solutions of the epidemic system HIV/AIDS transmission model with help conformable fractional differential transform method. The derivatives considered in this are described sense operator. method provides speedily form a convergent series. results show efficiency proposed

In this paper, the fractional smoking epidemic model is presented. The presented in terms of Caputo’s derivation. differential transformation method (FDTM) to find an approximate analytical solution model. tested on and compared with homotopy transform method. shows form fast converging series results prove applicability proposed technique, which gives accurate results.

Abstract In this manuscript, the existence, uniqueness, and stability of solutions to multiterm boundary value problem Caputo fractional differential equations variable order are established. All results in study established with help generalized intervals piece-wise constant functions, we convert an equivalent standard order. Further, two fixed point theorems due Schauder Banach used, Ulam–Hyers given is examined, finally, construct example illustrate validity observed results. literature,...

Abstract This research investigates the utilization of a modified version Sardar sub-equation method to discover novel exact solutions for generalized Pochammer Chree equation. The equation itself represents propagation longitudinal deformation waves in an elastic rod. By employing this method, we aim identify previously unknown under consideration, which can contribute deeper understanding behavior rods. obtained are represented by hyperbolic, trigonometric, exponential functions, dark,...

Abstract The industry of Islamic banking and finance (IBF) has undergone rapid expansion over the past forty years. However, it's imperative that this sector continues to evolve—making sure it aligns with contemporary market trends while staying abreast modern financial practices. With offerings becoming more complex than ever before, adhering closely shari'ah principles certainly poses a newer level daunting challenges need urgent attention in burgeoning field. Moreover, infamous products...

In this paper, we examine a novel method called the residual power series (RPSM) which is used in finding an analytic approximate solution to nonlinear temporal foam drainage equation of fractional order. The obtained uniformly convergent form. Also, 3D graphs for are provided different values [Formula: see text] proves that effective and straightforward approach providing excellent results similar problems.