Found 221 Documents (Results 1–100)
New solitary wave solutions for the fractional Jaulent-Miodek hierarchy model. (English) Zbl 1529.35453
On the box dimension of Weyl-Marchaud fractional derivative and linearity effect. (English) Zbl 1532.26002
Explicit optical dromions with Kerr law having fractional temporal evolution. (English) Zbl 1529.35479
Fractal dimension variation of continuous functions under certain operations. (English) Zbl 1532.28018
Construction of new affine and non-affine fractal interpolation functions through the Weyl-Marchaud derivative. (English) Zbl 1532.28015
The Simpson-type integral inequalities involving twice local fractional differentiable generalized \((s, P)\)-convexity and their applications. (English) Zbl 1532.26050
Variational principle and solitary wave of the fractal fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave model. (English) Zbl 1529.35410
Investigation of the time fractional generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation with single-power law nonlinearity. (English) Zbl 1529.35397
On fractional integrals and derivatives of a function with respect to another function. (English) Zbl 1532.26004
A novel numerical method for solving fuzzy variable-order differential equations with Mittag-Leffler kernels. (English) Zbl 07726765
Application of Hosoya polynomial to solve a class of time-fractional diffusion equations. (English) Zbl 1521.35187
New numerical simulation for the fractal-fractional model of deathly Lassa hemorrhagic fever disease in pregnant women with optimal analysis. (English) Zbl 1522.34071
Analysis of the conformable temporal-fractional Swift-Hohenberg equation using a novel computational technique. (English) Zbl 1534.35426
Fractional variational problem involving indefinite integrals and nonsingular kernels. (English) Zbl 1534.49018
Totally new soliton phenomena in the fractional Zoomeron model for shallow water. (English) Zbl 1521.35164
New solitary wave solutions of the fractional modified KdV-Kadomtsev-Petviashvili equation. (English) Zbl 1521.35163
Simpson-like inequalities for twice differentiable \((s, P)\)-convex mappings involving with AB-fractional integrals and their applications. (English) Zbl 1532.26047
\(n\)-soliton, breather, lump solutions and diverse traveling wave solutions of the fractional \((2+1)\)-Dimensional Boussinesq equation. (English) Zbl 1521.35142
Existence results for multi-term fractional differential equations with nonlocal boundary conditions involving Atangana-Baleanu derivative. (English) Zbl 1534.34006
Modification of optimal homotopy asymptotic method for multi-dimensional time-fractional model of Navier-Stokes equation. (English) Zbl 1521.35135
On numerical and theoretical findings for fractal-fractional order generalized dynamical system. (English) Zbl 1534.34012
Construction of fractal soliton solutions for the fractional evolution equations with conformable derivative. (English) Zbl 1521.35162
Hölder continuity and box dimension for the mixed Riemann-Liouville fractional integral. (English) Zbl 1532.26005
Analysis and implementation of numerical scheme for the variable-order fractional modified sub-diffusion equation. (English) Zbl 1509.65068
Modified finite element numerical method for solving conformable space-time fractional nonlinear partial differential equations. (English) Zbl 1509.65098
Adaptive tracking control for fractional-order nonlinear uncertain systems with state constraints via command-filtering and disturbance observer. (English) Zbl 1508.93182
Computational model of a fractional-order chemical reactor system and its control using adaptive sliding mode control. (English) Zbl 1508.92354
Nonexistence results for a class of nonlinear fractional differential inequalities involving Erdélyi-Kober fractional derivatives. (English) Zbl 1515.34007
Novel scheme for the fractal-fractional short water wave model with unsmooth boundaries. (English) Zbl 1509.35250
An insight on The \((2+1)\)-Dimensional fractal nonlinear Boiti-Leon-Manna-Pempinelli equations. (English) Zbl 1509.35269
Fractional complex transforms, reduced equations and exact solutions of the fractional Kraenkel-Manna-Merle system. (English) Zbl 1509.35299
Conformable derivatives in viscous flow describing fluid through porous medium with variable permeability. (English) Zbl 1541.76087
New properties of the fractal Boussinesq-Kadomtsev-Petviashvili-like equation with unsmooth boundaries. (English) Zbl 1509.35251
Novel traveling wave solutions for the fractal Zakharov-Kuznetsov-Benjamin-Bona-Mahony model. (English) Zbl 1509.35249
Memory effect analysis using piecewise cubic b-spline of time fractional diffusion equation. (English) Zbl 1509.65076
Implementation of multi-folded torus attractors via a piecewise system with a piecewise linear odd function. (English) Zbl 1515.34015
On existence and stability results for pantograph fractional boundary value problems. (English) Zbl 1515.34080
The fractal and piecewise structure of some chaotic neural networks using a generalized model. (English) Zbl 1515.34014
A comparative analysis report on the multi-wave fractional Hirota equation in nonlinear dispersive media. (English) Zbl 1509.35275
Caputo-type fractional systems with variable order depending on the impulses and changing the kernel. (English) Zbl 1515.34006
Existence results and numerical study on novel coronavirus 2019-nCoV/SARS-CoV-2 model using differential operators based on the generalized Mittag-Leffler kernel and fixed points. (English) Zbl 1508.92289
Chaotic behavior of modified stretch-twist-fold flow under fractal-fractional derivatives. (English) Zbl 1515.34013
Investigation of integral boundary value problem with impulsive behavior involving non-singular derivative. (English) Zbl 1515.34035
Discrete Hermite-Hadamard-type inequalities for \((s, m)\)-convex function. (English) Zbl 1515.26027
Hermite-Hadamard-Fejér-type inequalities via Katugampola fractional integrals for s-convex functions in the second sense. (English) Zbl 1515.26026
Uniform continuity of fractional order integral of fractal interpolation function. (English) Zbl 1520.28006
Investigation to the local fractional Fokas system on Cantor set by a novel technology. (English) Zbl 1507.35332
A novel perspective to the local fractional bidirectional wave model on Cantor sets. (English) Zbl 1502.78013
Certain new weighted Young- and Pólya-Szegö-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function with applications. (English) Zbl 1512.26016
Exact traveling wave solutions for the local fractional Kadomtsov-Petviashvili-Benjamin-Bona-Mahony model by variational perspective. (English) Zbl 1507.35333
Chaotic behavior in fractional Helmholtz and Kelvin-Helmholtz instability problems with Riesz operator. (English) Zbl 1496.65125
Predictive control of the variable-order fractional chaotic ecological system. (English) Zbl 1498.92310
Heat transfer of MHD Oldroyd-B fluid with ramped wall velocity and temperature in view of local and nonlocal differential operators. (English) Zbl 1509.76086
The numerical meshless approach for solving the 2D time nonlinear multi-term fractional cable equation in complex geometries. (English) Zbl 1496.65134
Dynamical investigation and distributed consensus tracking control of a variable-order fractional supply chain network using a multi-agent neural network-based control method. (English) Zbl 1498.90034
A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. (English) Zbl 1497.65204
Reviewer: Murli Gupta (Washington, D.C.)
Numerical analysis of newly developed fractal-fractional model of Casson fluid with exponential memory. (English) Zbl 1497.65131
Use of evolutionary algorithms in a fractional framework to prevent the spread of coronavirus. (English) Zbl 1498.92267
A hybrid approach for synchronizing between two reaction-diffusion systems of integer- and fractional-order applied on certain chemical models. (English) Zbl 1498.93696
Exact soliton solutions for conformable fractional six wave interaction equations by the ansatz method. (English) Zbl 1504.35598
Analysis of a fractional order smoking model with relapse and harmonic mean type incidence rate under \(\mathcal{ABC}\) operator. (English) Zbl 1498.92284
The comparative report on dynamical analysis about fractional nonlinear Drinfeld-Sokolov-Wilson system. (English) Zbl 1497.35507
Revisiting Fejér-Hermite-Hadamard type inequalities in fractal domain and applications. (English) Zbl 1496.26036
On an extension of the operator with Mittag-Leffler kernel. (English) Zbl 1514.34008
Reviewer: Hira Waheed (Peshawar)
Traveling wave solutions to a mathematical model of fractional order \((2+1)\)-dimensional breaking soliton equation. (English) Zbl 1506.35032
On box dimension of Hadamard fractional integral (partly answer fractal calculus conjecture). (English) Zbl 1508.28002
An improvement of the power-mean integral inequality in the frame of fractal space and certain related midpoint-type integral inequalities. (English) Zbl 1502.26028
Properties and integral inequalities arising from the generalized \(n\)-polynomial convexity in the frame of fractal space. (English) Zbl 1493.26089
A new \((3+1)\)-Dimensional KdV equation and mkdv equation with their corresponding fractional forms. (English) Zbl 1504.35456
A fractal model of power-law fluid through charged fibrous porous media by using the fractional-derivative theory. (English) Zbl 1494.76090
A generalized method and its applications to \(n\)-dimensional fractional partial differential equations in fractal domain. (English) Zbl 1506.35204
An insight on the fractal power law flow: from a Hausdorff vector calculus perspective. (English) Zbl 1490.28005
Fractal dimensions of Katugampola fractional integral of continuous functions satisfying Hölder condition. (English) Zbl 1491.28005
Some recent developments on dynamical \(\hbar\)-discrete fractional type inequalities in the frame of nonsingular and nonlocal kernels. (English) Zbl 1487.39011
Adoption of fractional differential equations under improved variational iterative algorithm combined with DNA coding algorithm in image encryption. (English) Zbl 1507.35307
New developments in weighted \(n\)-fold type inequalities via discrete generalized \(\hat{\hbar}\)-proportional fractional operators. (English) Zbl 1537.26005
New results of fractal fractional model of drilling nanoliquids with clay nanoparticles. (English) Zbl 1507.35184
A nonlinear strain-dependent variable-order fractional model with applications to aluminum foams. (English) Zbl 1496.74050
Generalization of Yang-Hardy-Hilbert’s integral inequality on the fractal set \(\mathbb{R}_+^\alpha\). (English) Zbl 1495.26030
Research on the nonlinear vibration of carbon nanotube embedded in fractal medium. (English) Zbl 1496.74069
Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model. (English) Zbl 1486.92241
Secondary pulmonary tuberculosis recognition by rotation angle vector grid-based fractional Fourier entropy. (English) Zbl 1486.92105
Analysis of the flow of Brinkman-type nanofluid using generalized Fourier’s and Fick’s laws. (English) Zbl 1496.35326
Existence results for a coupled system of nonlinear fractional \(q\)-integro-difference equations with \(q\)-integral-coupled boundary conditions. (English) Zbl 1485.39008
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