الفهرس 
A delay tempered-fractal differential equationOnly 14 pages are availabe for public view
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Abstract
Fractal derivatives and integrals are mathematical concepts that extend the traditional calculus framework to capture the behavior of systems with fractal-like properties. Fractals are geometric or mathematical objects characterized by self-similarity and non-integer dimensions. The introduction of fractal derivatives and integrals provides a powerful tool for analyzing and modeling complex phenomena that exhibit intricate and irregular structures. Here, the definitions of fractal derivative and integral Additionally, the study of the tempered derivative and integral is an active area of research, with ongoing efforts focused on developing mathematical frameworks, computational techniques, and applications in various domains. By incorporating the tempered derivative and integral into mathematical models, researchers can gain a deeper understanding of the behavior and dynamics of systems that exhibit localized influences or rapid decay. Here, the definitions of tempered derivative and integral It is well known that the tempered-fractal differential equations create an important new branch of non-linear analysis and have applications in describing of miscellaneous real world problems. For papers studying such kind of problems (see [1, 4, 13, 17]). This paper will focus itself on a tempered-fractal differential equation. Let I = [0,T], x : I → R be continuous, β ∈ (0,1) and λ > 0.