Derivation of Dynamical Integral Inequalities Based on Two-Dimensional Time Scales Theory
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Abstract
The main goal of this paper is to set up some new estimates of a specific class of dynamic integral inequalities (DII) which are partially linear on a time scale T with two independent variables. These, from the one hand, sum up and, on the other hand, offer a helpful method for both the qualitative and quantitative study of dynamic equations on time scales. Some applications are taken into consideration to show the validity of the fundamental results.
Description
Khan, Aziz/0000-0001-6185-9394; Khan, Hasib/0000-0002-7186-8435
Keywords
Integral Inequalities, Time Scales, Nondecreasing, Dynamic Equations, Artificial intelligence, Class (philosophy), Scale (ratio), Set (abstract data type), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Engineering, QA1-939, FOS: Mathematics, Time Scales, Integral inequalities, Anomalous Diffusion Modeling and Analysis, Impulsive Differential Equations, Applied Mathematics, Physics, Pure mathematics, Time scales, Applied mathematics, Computer science, Programming language, Dynamic equations, Inequality, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Nondecreasing, Dynamic equation, Mathematics, Fractional derivatives and integrals, dynamic equations, integral inequalities, Real analysis on time scales or measure chains, time scales, Inequalities involving derivatives and differential and integral operators, nondecreasing
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Khan, Zareen A...et al. (2020). "Derivation of dynamical integral inequalities based on two-dimensional time scales theory", Journal of Inequalities and Applications, Vol. 2020, No. 1.
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2020
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1
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Scopus : 5
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