Author

Nikolay D. Dimitrov

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Open access Sep 2026

Existence and Stability of Positive Solutions for a Class of Delta Fractional Perturbed Problems

The aim of the present work is to study a class of perturbed delta Riemann–Liouville (RL) fractional problems coupled with Dirichlet conditions. Our new results improve significantly upon the existing results, as we show that the related Green’s function, which can be expressed as an infinite series, is actually positi...

Nikolay D. Dimitrov, J. Jonnalagadda · Mathematics · 0 citations

Open access Sep 2026

Solvability of Nonlinear Discrete Fractional Equations with Mixed-Order Nabla Operators and Dirichlet Boundaries

In this manuscript, we study the solvability of a class of mixed-order nabla fractional equations coupled with Dirichlet conditions. Based on the obtained Green’s function and its properties, we establish existence, nonexistence, and multiplicity results using fixed point theory. In the end, we give some numerical exam...

Nikolay D. Dimitrov, J. Jonnalagadda · Fractal and Fractional · 0 citations