The Caputo fractional derivative has been one of the most useful operators for modelling non-local behaviours by differential equations. It is defined, a differentiable function f ( t ) , integral operator applied to ′ . We define new substituting this more general proportional derivative. This can also be written as Riemann–Liouville derivative, or in some important special cases linear combination and then conduct analysis definition: constructing its inverse Laplace transform, solving...

Nonlocal differential and integral operators with fractional order fractal dimension have been recently introduced appear to be powerful mathematical tools model complex real world problems that could not modeled classical nonlocal single order. To stress further possible application of such operators, we consider in this work an advection-dispersion model, where the velocity is considered 1. We three cases models, when kernels are power law, exponential decay law generalized Mittag-Leffler...

In this paper, an extension is paid to idea of fractal and fractional derivatives which has been applied a number ordinary differential equations model system partial equations. As case study, the Schnakenberg formulated with Caputo operator (in terms power law), Caputo-Fabrizio (with exponential decay law) Atangana-Baleanu derivative (based on Mittag-Liffler law). We design some algorithms for by using newly proposed numerical methods. such schemes, it worth mentioning that classical cases...

The topic of fluid flow through disks is important due to a broad range its applications in industries, engineering, and scientific fields. objective the current article analyze bioconvective micropolar nanofluid between coaxial, parallel, radially stretching double occurrence gyrotactic motile microorganisms with convective thermal boundary conditions. Darcy–Forchheimer medium considered that allow horizontally additional effects porosity friction. also under impacts conductivity...

In this paper, HIV/AIDS fractional-order model is studied. This epidemic phenomenon analyzed using Caputo-Fabrizio and Fractal fractional derivative operator that includes an antiretroviral treatment compartment. The advanced approach used for to get reliable outcomes with the help of sumudu transform. qualitatively as well verify unique solutions. Numerical simulations are performed explain effects changing support theoretical results proposed methods a range orders. Also, comparison has...

The fins performance under natural convection is essential to make it more functional for large scale applications specifically in thermal engineering. For this, important introduce new techniques enhance the instead of traditional way. Thus, this study introduces a way fin efficient using ternary nanomaterial nanoparticles shape factor. annular significantly contributes electronics exhaust hot air, injector pumps and applied Methodology: This work focuses on energy model factors. Therefore,...

Despite the existence of a secure and reliable immunization, measles, also known as rubeola, continues to be leading cause fatalities globally, especially in underdeveloped nations. For investigation observation dynamical transmission disease with influence vaccination, we proposed novel fractional order measles model constant proportional (CP) Caputo operator. We analysed model’s positivity, boundedness, well-posedness, biological viability. Reproductive strength numbers were verified...

Abstract During last decades the research of nanofluid is great interest all over World, particularly because its thermal applications in engineering, and biological sciences. Although performance well appreciate showed good results heat transport phenomena, to further improve conventional base fluids an increasing number researchers have started considering structured nanoparticles suspension one fluid. As make example, when three different a single fluid we so called “ternary hybrid...

This article focuses on securing distinct optical solitons to fiber with the coupled nonlinear Schrödinger equation. The examined equation is analyzed aid of conformable space–time fractional and known have a significant role in propagation pulses through two-mode soliton wavelength division multiplexing. partial differential equations garnered increased interest since they may be utilized explain wide range complicated physical phenomena more dynamic structures localized wave solutions. New...

In this paper, the main motive is to mathematical explore thin-film ferroelectric material partial differential equation which addresses Ferroelectrics, that are being examined as key materials for applications in piezoelectric, pyroelectric electrostrictive, linear, and nonlinear optical systems. Thin films used a variety of modern electrical devices because they both dielectric materials. This article appropriates fractional travelling wave transformation allowing be changed into an...

In this paper, the main motive is to mathematical explore Kuralay equation, which find applications in various fields such as ferromagnetic materials, nonlinear optics, and optical fibers. The objective of study investigate different types soliton solutions analyze integrable motion induced space curves. This article appropriates traveling wave transformation allowing partial differential equation be changed into an ordinary equation. To establish these solutions, employs new auxiliary...

Recent progresses in nanotechnologies and nanoscience have led to the creation of hybrid nanofluids, which are a complicated category fluids with superior thermal features regular nanofluids. The current framework demonstrates importance two-dimensional steady incompressible axisymmetric flow Maxwell nanofluid over double disks radiation. This investigation analyzes novel idea regarding execution Cattaneo-Christov heat theory melting phenomenon by considering transformer oil as base fluid....

This paper demonstrates the Williamson nanofluid flow with magnetohydrodynamics (MHD) and radiation effects through slender cylinder. The mass heat transfer is analyzed under different assumption of viscosity, density, thermal conductivity. Conservation momentum energy are modeled to exhibit impact problem. Buongiorno model used for this analysis. a cylinder along constant viscosity not studied yet. Which novelty current research work. Flow governing equations firstly converted into ordinary...

Abstract Nanofluids become significant in the mass and heat transfer models, especially engineering problems. Current proceedings focused on bioconvective Maxwell nanofluid flow passing through permeable stretchable sheet contingent to nield boundary conditions involving effects of activation energy thermal radiation. Various physical quantities are involved this mechanism like magnetic field, thermophoresis, Brownian motion. The main objective study is report transport existence motile...

In the current proceeding, flow of incompressible non-Newtonian nanofluid called Casson is considered. A conical gap occurred among rotating disc and cone filled with fluid flow. Heat mass transport through this done by convection mode heat transfer. The impacts microorganisms, chemical processes, thermal radiation, minimal amount energy, magnetic field are also considered in mathematical model problem. nano-fluid governing equations interpreted cylindrical coordinates. By implementing...

Studies of ethnobotanical usages in south-eastern Turkey are rare. To widen this field knowledge, we conducted an study Midyat (Mardin Province), Turkey. The was completed during three years (2007–2010). Our aim to document the uses local plants and make inventory uncommon using qualitative interviews. During studies, 368 voucher specimens were collected investigated area. Ninety-two traditionally used plant species reported from surrounding vicinities Among 92 taxa (129 usages), 35% for...

In the last past year researchers have relied on ability of Laplace transform to solve partial, ordinary linear equations with great success. Important analysis in signal including transfer function, Bode diagram, Nyquist plot and Nichols are obtained based transform. The output depends only results from However, one weakness is that even function odd while an old which lack conservation properties. On other hand there exist a similar integral known as Sumudu has conserve properties real...

The surge of resistant food pathogens is a major threat worldwide. Previous research conducted on phytochemicals has shown their antibacterial activity against pathogenic bacteria. design antimicrobial agents to curb disease remains challenge demanding critical attention. Flavonoids such as apigenin and quercetin were evaluated Gram-positive Gram-negative results indicated that the each flavonoid occurred at different minimum inhibitory concentration. However, modified flavonoids also...

Plant-based pathogenic microbes hinder the yield and quality of food production. Plant diseases have caused an increase in costs due to crop destruction. There is a need develop novel methods that can target mitigate microbes. This study focuses on investigating effects luteolin tetraphosphate derived silver nanoparticles (LTP-AgNPs) gold (LTP-AuNPs) as therapeutic agent growth expression plant-based bacteria fungi. In this study, were synthesized at room temperature using (LTP) reducing...