Delay dynamic double integral inequalities on time scales with applications
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Publication:2144048
DOI10.1186/s13662-020-2516-3zbMath1487.26051OpenAlexW3030649527WikidataQ126331011 ScholiaQ126331011MaRDI QIDQ2144048
Sobia Rafeeq, Yu-Ming Chu, Sabir Hussain, Saima Rashid, Humaira Kalsoom
Publication date: 1 June 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-2516-3
Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)
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Cites Work
- Bounding the convex combination of arithmetic and integral means in terms of one-parameter harmonic and geometric means
- A variety of dynamic inequalities on time scales with retardation
- Monotonicity and inequalities involving zero-balanced hypergeometric function
- Boundedness of multilinear singular integral operator with non-smooth kernels and mean oscillation
- Numerical solution of multiterm variable‐order fractional differential equations via shifted Legendre polynomials
- Some new three-term Hestenes–Stiefel conjugate gradient methods with affine combination
- Some inequalities involving Hadamard‐type k‐fractional integral operators
- Existence of an extinction wave in the Fisher equation with a shifting habitat
- Monotonicity properties and bounds for the complete \(p\)-elliptic integrals
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces
- Some delay Gronwall type inequalities on time scales
- Application of the alternating direction method for an inverse monic quadratic eigenvalue problem
- Attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity
- Stress field around a strike-slip fault in orthotropic elastic layers via a hypersingular integral equation
- The existence of solutions for a nonlinear mixed problem of singular fractional differential equations
- Optimal combinations bounds of root-square and arithmetic means for Toader mean
- Generalized Gronwall-Bellman-type discrete inequalities and their applications
- Some generalized nonlinear retarded integral inequalities with applications
- Sharp inequalities involving the power mean and complete elliptic integral of the first kind
- Gronwall, Bellman and Pachpatte type integral inequalities with applications
- Another improved Wei-Yao-Liu nonlinear conjugate gradient method with sufficient descent property
- A new analysis of electrostatic free energy minimization and Poisson-Boltzmann equation for protein in ionic solvent
- A new Poisson noise filter based on weights optimization
- Construction of Runge-Kutta type methods for solving ordinary differential equations
- Inequalities for \(\alpha\)-fractional differentiable functions
- Central limit theorems for a supercritical branching process in a random environment
- Logarithmically complete monotonicity properties relating to the gamma function
- A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients
- A D-N alternating algorithm for exterior 3-D Poisson problem with prolate spheroid boundary
- A modified Perry's conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations
- Integral inequalities involving strongly convex functions
- A proximal point-like method for symmetric finite element model updating problems
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Optimal bounds for the generalized Euler-Mascheroni constant
- Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means
- Hermite-Hadamard type inequalities for fractional integrals via Green's function
- Noninstantaneous impulsive inequalities via conformable fractional calculus
- On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions
- A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
- On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
- On a time-fractional integrodifferential equation via three-point boundary value conditions
- Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals
- Weighted boundedness of multilinear operator associated to singular integral operator with variable Calderón-Zygmund kernel
- On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations
- Dynamics of a class of delayed reaction-diffusion systems with Neumann boundary condition
- On a nonlinear fractional differential equation on partially ordered metric spaces
- First- and second-order expansions in the central limit theorem for a branching random walk
- Bifurcation of limit cycles at infinity in piecewise polynomial systems
- A novel finite volume method for the Riesz space distributed-order diffusion equation
- On the existence of solutions of a three steps crisis integro-differential equation
- The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1\) and the existence of solutions for two higher-order series-type differential equations]
- New Hermite-Hadamard type integral inequalities for convex functions and their applications
- Harmonic moments, large and moderate deviation principles for Mandelbrot's cascade in a random environment
- On the analysis and application of an ion size-modified Poisson-Boltzmann equation
- Some dynamic inequalities on time scales and their applications
- The number and stability of limit cycles for planar piecewise linear systems of node-saddle type
- On the convergence of a modified regularized Newton method for convex optimization with singular solutions
- Trigonometric transform splitting methods for real symmetric Toeplitz systems
- Periodic attractor for reaction-diffusion high-order Hopfield neural networks with time-varying delays
- Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term
- Schur \(m\)-power convexity of generalized geometric Bonferroni mean involving three parameters
- Majorization theorems for strongly convex functions
- Improvements of bounds for the Sándor-Yang means
- Association of Jensen's inequality for \(s\)-convex function with Csiszár divergence
- Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
- Optimal two-parameter geometric and arithmetic mean bounds for the Sándor-Yang mean
- A note on generalized convex functions
- Hermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications
- On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
- On high order fractional integro-differential equations including the Caputo-Fabrizio derivative
- On the new fractional hybrid boundary value problems with three-point integral hybrid conditions
- Monotonicity, convexity and inequalities involving the generalized elliptic integrals
- An efficient two grid method for miscible displacement problem approximated by mixed finite element methods
- Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type
- Some Opial-type inequalities with higher order delta derivatives on time scales
- Sharp one-parameter geometric and quadratic means bounds for the Sándor-Yang means
- Approximation for the complete elliptic integral of the first kind
- Petrović-type inequalities for harmonic \(h\)-convex functions
- Integral majorization type inequalities for the functions in the sense of strong convexity
- Analysis and numerical approximation of tempered fractional calculus of variations problems
- The concept of coordinate strongly convex functions and related inequalities
- Sharp power mean bounds for two Sándor-Yang means
- Precise bounds for the weighted Hölder mean of the complete \(p\)-elliptic integrals
- A strong limit theorem for the average of ternary functions of Markov chains in bi-infinite random environments
- Stability of solutions of nonlinear neutral differential equations with piecewise constant delay and their discretizations
- Generalized Lyapunov-Razumikhin method for retarded differential inclusions: applications to discontinuous neural networks
- The quasi-reversibility method to solve the Cauchy problems for parabolic equations
- Fully-geometric mesh one-leg methods for the generalized pantograph equation: approximating Lyapunov functional and asymptotic contractivity
- Weighted inequalities for a general commutator associated to a singular integral operator satisfying a variant of Hörmander's condition
- On some explicit bounds of integral inequalities related to time scales
- On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
- Discrete non-linear inequalities and applications to boundary value problems
- On a three step crisis integro-differential equation
- The stability of solutions of linear differential equations
- Inequalities on Time Scales: A Survey
- Plasmon resonance and heat generation in nanostructures
- Some existence results on nonlinear fractional differential equations
- Sharp function inequalities and boundness for Toeplitz type operator related to general fractional singular integral operator
- Existence and global attractivity of almost periodic solutions for a delayed differential neoclassical growth model
- NUMERICAL METHODS FOR RECONSTRUCTION OF THE SOURCE TERM OF HEAT EQUATIONS FROM THE FINAL OVERDETERMINATION
- A generalized Gronwall-Bellman type delay integral inequality with two independent variables on time scales
- Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting
- Periodic orbit analysis for the delayed Filippov system
- Converses of the Jensen inequality derived from the Green functions with applications in information theory
- NEW GRONWALL–OU-IANG TYPE INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
