The theme of this special issue is “Neoteric Advancements in Analysis and Applied Mathematics”. Its goal is to look at new developments in fractional calculus, summability theory, fixed point theory, and special functions, as well as how they can be used to make the future more sustainable. This issue is mainly about discussing new ways to combine fractional integration formulas with special functions, using summability theory to study how things converge in neutrosophic normed linear spaces, creating new hybrid fixed point iterative processes, making fixed point theorems more general, and a lot of other important topics. By discussing these mathematical advancements, we hope to highlight their applicability and possible benefits to a variety of present-day challenges.