Search Results - Safoura Rezaei Aderyani
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Representation Formulas and Stability Analysis for Hilfer–Hadamard Proportional Fractional Differential Equations
Published 2025-05-01Get full textThis paper introduces a novel version of the Gronwall inequality specifically related to the Hilfer–Hadamard proportional fractional derivative. By utilizing Picard’s method of successive approximations along with the definition of Mittag–Leffler functions, we derive a representation formula for the...
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On the Generalized Fractional Convection–Diffusion Equation with an Initial Condition in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struc...
Published 2025-05-01Get full textTime-fractional convection–diffusion equations are significant for their ability to model complex transport phenomena that deviate from classical behavior, with numerous applications in anomalous diffusion, memory effects, and nonlocality. This paper derives, for the first time, a unique series solu...
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Enhancing Stability in Fractional-Order Systems: Criteria and Applications
Published 2025-05-01Get full textThis study investigates the stability of fractional-order systems with infinite delay, which are prevalent in many fields due to their effectiveness in modeling complex dynamic behaviors. Recent advancements concerning the existence and various categories of stability for solutions to the given prob...
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