CERTAIN DEVELOPMENTS ON SOLUTIONS OF DYNAMIC INEQUALITIES IN THE PREMISE OF TIME SCALES

Zareen A. Khan and Kadir Kaynak
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Zareen A. Khan: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
Kadir Kaynak: Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, Turkey

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-11

Abstract: On the grounds of few perceived Gronwall inequalities, we inspect some new relevant nonlinear dynamic inequalities on time scales related to one independent variable. To guarantee the evenness of information division and with the conversation of peculiar cases, it is indicated that these inequalities catch dynamic, delay, Volterra–Fredholm, discrete, fractional, etc. The inequalities suggested right here to other specific bounds on unknown parameters may be handled as powerful equipment for determining the features of various dynamic equations on time scales. It is trusted that this research plan will open new possibilities in in-depth examination of time scale scheme structure of varying nature.

Keywords: Differential Equations; Time Scales; Explicit Estimates; Dynamic Equations (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400242

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