The solvability of interval-valued Abel integral equations on a time scale with trigonometric representation of parameterized interval analysis

Abstract

In this paper, the concept of the trigonometric representation of parameterized interval analysis is introduced to investigate a theory of the interval-valued Abel integral equation (IAIE) on a time scale. We provide suitable conditions to show that the IAIE on a time scale is solvable. Some simple examples are given to illustrate our main result.

Representation of solutions to fuzzy linear fractional differential equations with a piecewise constant argument

“…Numerous studies have delved into the qualitative aspects of solutions and techniques for finding both exact and approximate solutions to UFDEs. Interested readers are encouraged to consult the works of Abu et al [19], Ghaffari et al [20], Keshavarz et al [21], Ullah et al [22], Hoa et al [23], Long et al [24], Lupulescu [25], Mazandarani et al [26], Allahviranloo et al [27,28], An et al [29], Ahmad et al [30], Choi et al [31], Phut et al [32], and the references provided therein for further information on this subject.…”