On a system of \(q\)-Laplace transform of two variables with applications

DOI10.1016/j.cam.2019.112407zbMath1429.42008OpenAlexW2970778196MaRDI QIDQ2332713

Renu Jain, Javid Ahmad Ganie

Publication date: 5 November 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112407

zbMATH Keywords

convolutionquantum calculus\(q\)-derivatives\(q\)-Laplace transform\(q\)-Jackson integrals

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Convolution, factorization for one variable harmonic analysis (42A85) (q)-gamma functions, (q)-beta functions and integrals (33D05) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (6)

The ARA transform in quantum calculus and its applications ⋮ Natural transform of two variables in \(q\)-calculus with applications ⋮ On a system of q‐modified Laplace transform and its applications ⋮ Results on the modified degenerate Laplace-type integral associated with applications involving fractional kinetic equations ⋮ On behavior Laplace integral operators with generalized Bessel matrix polynomials and related functions ⋮ An uncertainty principle for the basic wavelet transform

Cites Work

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• On pre-exit joint occupation times for spectrally negative Lévy processes
• A class of logarithmically completely monotonic functions associated with a gamma function
• Logarithmically complete monotonicity properties relating to the gamma function
• Asymptotic formulas for gamma function with applications
• The Mellin transform in quantum calculus
• A double inequality for gamma function
• The development of the Laplace transform, 1737-1937. I. Euler to Spitzer, 1737-1880
• Integral transforms and their applications
• Inequalities and infinite product formula for Ramanujan generalized modular equation function
• Solving coupled pseudo-parabolic equation using a modified double Laplace decomposition method
• Two dimensional Mellin transform in quantum calculus
• Finite block method in fracture analysis with functionally graded materials
• Dynamics of a class of delayed reaction-diffusion systems with Neumann boundary condition
• Refinements of transformation inequalities for zero-balanced hypergeometric functions
• The number and stability of limit cycles for planar piecewise linear systems of node-saddle type
• A note on double Laplace transform and telegraphic equations
• Diffusion occupation time before exiting
• On the \(q\)-Laplace transform and related special functions
• Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type
• On the \(q\)-analog of the Laplace transform
• An occupation time related potential measure for diffusion processes
• On rational bounds for the gamma function
• On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• Sharp Gautschi inequality for parameter 0<p<1 with applications
• Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting
• On the last exit times for spectrally negative Lévy processes
• Quantum calculus

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