涉及柯西多项式的分数阶q积分的推广及其一些应用

IF 1.1 Q1 MATHEMATICS

Journal of Nonlinear Functional Analysis Pub Date : 2023-01-01 DOI:10.23952/jnfa.2023.12

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引用次数: 1

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Generalizations of fractional q-integrals involving Cauchy polynomials and some applications

. In this paper, we demonstrate the technique of iterations and generalize Riemann–Liouville fractional q -integrals involving Cauchy polynomials. We obtain the generalizations of Srivastava–Agarwal type generating functions by generalized fractional q -integrals involving Cauchy polynomials. Moreover, we also derive generating functions for Rajkovi ´ c–Marinkovi ´ c–Stankovi ´ c polynomials involving Cauchy polynomial by fractional q -integrals. At last, we deduce a generalization of Jackson’s transformation formula by fractional q -integrals involving Cauchy polynomials.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.