Found 699 Documents (Results 1–100)
Hyers-Ulam stability of a class fractional boundary value problems with right and left fractional derivatives. (English) Zbl 1512.34017
Existence of fractional stochastic Schrödinger evolution equations with potential and optimal controls. (English) Zbl 1512.60043
Characterizations of parabolic fractional integral operators on generalized parabolic Morrey spaces. (English) Zbl 1513.42064
Harmonic impact on the surface of a half-plane in the framework of time-fractional heat conduction. (English) Zbl 1513.35529
Numerical and bifurcations analysis for multi-ordered fractional model of HIV infection of CD4\(^+\)T-cells. (English) Zbl 1513.37051
Some remarks on inverse Laplace transforms involving conjugate branch points with applications. (English) Zbl 1513.44006
Riemann-Liouville fractional calculus of 1-dimensional continuous functions. (Chinese. English summary) Zbl 1499.26019
The existence of distributional chaos in abstract degenerate fractional differential equations. (English) Zbl 1499.34326
Existence of positive solutions for a nonlinear fractional differential equations with integral boundary conditions. (English) Zbl 1499.34174
Existence and uniqueness of positive solutions for coupled systems of fractional \(\Delta\)-difference boundary value problems. (English) Zbl 1499.39058
Existence of solutions for fractional Hamiltonian systems with nonlinear derivative dependence in \(\mathbb{R}\). (English) Zbl 1499.37103
Existence and local attractivity results for a perturbed fractional integral equation. (English) Zbl 1488.45045
Existence of a mild solution for neutral fractional integro-differential equations with nonlocal conditions. (English) Zbl 1499.34387
Iterative solutions to a coupled system of nonlinear fractional differential equation. (English) Zbl 1513.45025
Existence and Ulam stabilities for Hadamard fractional integral equations in Fréchet spaces. (English) Zbl 1499.45033
Lyapunov type inequalities for fractional Sturm-Liouville problems and fractional Hamiltonian systems and applications. (English) Zbl 1499.34049
A fractional trapezoidal rule type difference scheme for fractional order integro-differential equation. (English) Zbl 1488.65227
A note on the relationship between the Hausdorff dimension and the order of Grunwald’s definition for fractional calculus. (English) Zbl 1499.28008
Non-standard finite difference schemes for solving fractional order hyperbolic partial differential equations with Riesz fractional derivative. (English) Zbl 1499.65434
Stability analysis of fractional order HIV infection of CD4\(^+T\) cells with numerical solutions. (English) Zbl 1499.92093
Moving finite element methods for a system of semi-linear fractional diffusion equations. (English) Zbl 1488.65447
Exact solutions for fractional differential-difference equations by \((G'/G)\)-expansion method with modified Riemann-Liouville derivative. (English) Zbl 1499.35620
A comparative study of finite element and finite difference methods for two-dimensional space-fractional advection-dispersion equation. (English) Zbl 1499.65517
An inverse source problem with sparsity constraint for the time-fractional diffusion equation. (English) Zbl 1488.65383
Operator method of solving a class of linear fractional order differential equations. (Russian. English summary) Zbl 1488.34066
Euler-Darboux equation associated with exponential function of convolution type. II. (English) Zbl 1499.35376
Relation of Dirichlet averages and fractional integral operators of functions of matrix variables. (English) Zbl 1499.33084
Numerical solving unsteady space-fractional problems with the square root of an elliptic operator. (English) Zbl 1499.65438
Application of the Caputo-Fabrizio fractional derivative without singular kernel to Korteweg-de Vries-Burgers equation. (English) Zbl 1499.35643
Start control problems for fractional order evolution equations. (Russian. English summary) Zbl 1464.49003
A note on semilinear degenerate relaxation equations associated with abstract differential operators. (English) Zbl 1464.34084
Application of modified complex Tremblay operator. (English) Zbl 1468.30040
Chen, Chuei Yee (ed.) et al., Innovations through mathematical and statistical research. Proceedings of the 2nd international conference on mathematical sciences and statistics, ICMSS2016, Kuala Lumpur, Malaysia, January 26–28, 2016. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1739, Article ID 020059, 6 p. (2016).
Some theorems and properties of multi-dimensional fractional Laplace transforms. (English) Zbl 1471.44002
Chen, Chuei Yee (ed.) et al., Innovations through mathematical and statistical research. Proceedings of the 2nd international conference on mathematical sciences and statistics, ICMSS2016, Kuala Lumpur, Malaysia, January 26–28, 2016. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1739, Article ID 020038, 10 p. (2016).
Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty. (English) Zbl 1466.45005
Chen, Chuei Yee (ed.) et al., Innovations through mathematical and statistical research. Proceedings of the 2nd international conference on mathematical sciences and statistics, ICMSS2016, Kuala Lumpur, Malaysia, January 26–28, 2016. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1739, Article ID 020034, 6 p. (2016).
Generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized \(s\)-convex in the second sense. (English) Zbl 1462.26023
Application of Sumudu transform in generalized fractional reaction-diffusion equation. (English) Zbl 1456.35209
Existence of iterative fractional differential equation with nonlocal condition. (English) Zbl 1488.34425
Hardy-type inequalities involving generalized fractional integrals via superquadratic functions. (English) Zbl 1448.26032
Inverting of generalized Riemann-Liouville operator by means of integral Laplace transform. (Russian. English summary) Zbl 1463.26013
Ufim. Mat. Zh. 8, No. 3, 41-48 (2016); translation in Ufa Math. J. 8, No. 3, 41-48 (2016).
Practical and asymptotic stability of fractional discrete-time scalar systems described by a new model. (English) Zbl 1446.93068
Reachability of standard and fractional continuous-time systems with constant inputs. (English) Zbl 1446.93010
About accuracy increase of fractional order derivative and integral computations by applying the Grünwald-Letnikov formula. (English) Zbl 1510.65048
Numerical schemes for anomalous diffusion of single-phase fluids in porous media. (English) Zbl 1459.76114
Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux. (English) Zbl 1458.76095
A new material identification pattern for the fractional Kelvin-Zener model describing biomaterials and human tissues. (English) Zbl 1456.74125
Fractional characteristic times and dissipated energy in fractional linear viscoelasticity. (English) Zbl 1456.74025
Mathematical modeling to simulate the movement of contaminants in groundwater. (English) Zbl 1474.76083
Applications of fractional complex transform and \(\left(\frac{G'}{G}\right)\)-expansion method for time-fractional differential equations. (English) Zbl 1474.35637
Onto resolving spurious wave reflection problem with changing nonlocality among various length scales. (English) Zbl 1458.74016
Some general properties of a fractional Sumudu transform in the class of Boehmians. (English) Zbl 1463.46066
Boundedness, compactness for a class of fractional integration operators of Weyl type. (English) Zbl 1463.26011
Analytical and numerical solutions of electrical circuits described by fractional derivatives. (English) Zbl 1480.94053
Modeling heat transport in nanofluids with stagnation point flow using fractional calculus. (English) Zbl 1480.76006
An efficient analytical method for solving local fractional nonlinear PDEs arising in mathematical physics. (English) Zbl 1446.35260
Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations. (English) Zbl 1446.34011
Stability conditions of a coupled system of fractional \(q\)-difference Lotka-Volterra model. (English) Zbl 1442.39016
Existence of solutions for a fractional differential equations with integral boundary value problem at resonance on the half-line. (English) Zbl 1442.34048
Positive solutions to singular fractional differential equations with nonlinear boundary conditions. (English) Zbl 1442.34054
Chaos and synchronisation of a new fractional order system with only two stable equilibria. (English) Zbl 1442.34120
Fractional order operational matrix methods for fractional singular integro-differential equation. (English) Zbl 1443.65446
Certain weighted integral inequalities involving the fractional hypergeometric operators. (English) Zbl 1429.26028
Local fractional derivatives of differentiable functions are integer-order derivatives or zero. (English) Zbl 1420.26006
MSC:
26A33
Some integral inequalities for \(m\)-convex functions via generalized fractional integral operator containing generalized Mittag-Leffler function. (English) Zbl 1438.26042
On Hadamard inequalities for relative convex functions via fractional integrals. (English) Zbl 1414.26046
Numerical approach for solving space fractional order diffusion equations using shifted Chebyshev polynomials of the fourth kind. (English) Zbl 1438.35442
On Hermite-Hadamard type inequalities via generalized fractional integrals. (English) Zbl 1424.26055
On generalized Ostrowski-type inequalities for functions whose first derivatives absolute values are convex. (English) Zbl 1424.26035
On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals. (English) Zbl 1410.26039
Generalized Pompeiu type inequalities for local fractional integrals and its applications. (English) Zbl 1410.26031
Bound state for fractional Schrödinger equation with saturable nonlinearity. (English) Zbl 1410.35279
Some results for impulsive fractional differential inclusions with infinite delay and sectorial operators in Banach spaces. (English) Zbl 1410.34068
Hermite-Hadamard-Fejér type inequalities for quasi-geometrically convex functions via fractional integrals. (English) Zbl 1426.26047
An inverse fractional source problem in a space of periodic spatial distributions. (English) Zbl 1424.35360
Existence of positive solutions for coupled systems of half-linear boundary value problems involving Caputo fractional derivatives. (English) Zbl 1438.34032
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