Tulkin Mamatov
mathematical analysis Singular integral operators of convolution type Pure mathematics Gauss-Kronrod quadrature formula Integro-differential equation Finite element method Extended finite element method Stability and Controllability of Differential Equations Nonlinear Differential Equations Analysis Mathematical functions and polynomials Nonlinear Partial Differential Equations Functional Equations Stability Results Fractional calculus Compact operator on Hilbert space Isomorphism (crystallography) Hölder condition Applied Mathematics Control and Systems Engineering Nuclear and High Energy Physics

Bio

Tulkin Mamatov is a mathematician and researcher affiliated with the Bukhara Technological Institute of Engineering, where he serves in the Department of Higher Mathematics. Holding a PhD in mathematical analysis, his research focuses on fractional calculus, including mixed Riemann-Liouville fractional integrals and mixed fractional derivatives, as well as mapping properties of fractional differentiation operators. He has also contributed to studies on spectroscopic parameters of exotic helium atoms. With 16 publications and 23 citations, his work has an h-index of 3. He is an active member of the academic community, holding an ORCID (0000-0001-9955-9653) and maintaining profiles on OpenAlex and Scopus.

Educational Journey

Bukhara Technological Institute of Engineering

Mathmatics • mathematical analysis

Experience

Bukhara Technological Institute of Engineering

PhD

2016 - Present • Higher mathematic

Research

Composition of Mixed Riemann-Liouville Fractional Integral and Mixed Fractional Derivative

Article August 19, 2019

We study the question of the composition of a mixed fractional integral and a mixed fractional derivative in a fairly wide class of functions. The treatment formula for mixed fractional derivative is obtained.