Results 51 to 60 of about 286 (182)
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper investigates positive solutions for an implicit Caputo fractional boundary value problem of order 0 < ν < 1 on [0, T] with a nonlocal integral boundary condition. By reformulating the problem as an equivalent nonlinear Volterra integral equation, an associated operator on C([0, T], ℝ) is defined, and fixed‐point theory in a cone is employed.
Ngo Ngoc Hung, Youssri Hassan Youssri
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, 2021 In this paper, we mainly consider the impulsive fractional differential equation. Under certain assumptions, some new criteria to guarantee the impulsive fractional impulsive fractional differential equation has innitely many solutions are established ...
Gao, Dongdong, Li, Jianli
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Nonlinear Time-Fractional Differential Equations in Combustion Science [PDF]
, 2011 MSC 2010: 34A08 (main), 34G20, 80A25The application of Fractional Calculus in combustion science to model the evolution in time of the radius of an isolated premixed flame ball is highlighted.
Gianni Pagnini, Pagnini, Gianni
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Numerical solution of fractional Mathieu equations by using block-pulse wavelets
Journal of Ocean Engineering and Science, 2019 In this paper, we introduce a method based on operational matrix of fractional order integration for the numerical solution of fractional Mathieu equation and then apply it in a number of cases.
P. Pirmohabbati +3 more
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Demonstratio Mathematica, 2023 Recently, integral transforms are a powerful tool used in many areas of mathematics, physics, engineering, and other fields and disciplines. This article is devoted to the study of one important integral transform, which is called the modified degenerate
Almalki Yahya +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this work, we study a family of nonlinear fractional dynamical systems and propose a numerical procedure based on the power series iterative method (PSIM). The systems are formulated in terms of the Atangana–Baleanu–Caputo (ABC) fractional derivative, which is well‐suited to the modeling of memory and nonlocal effects.
Faten H. Damag +3 more
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Open Mathematics, 2020 In this paper, we study boundary value problems of fractional integro-differential equations and inclusions involving Hilfer fractional derivative.
Nuchpong Cholticha +2 more
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Demonstratio Mathematica, 2023 In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for
Alzabut Jehad +2 more
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On Ulam–Hyers Stable Solutions for a Fractional Dual‐Hybrid q‐Integro‐Difference Problem
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This study deals with a theoretical analysis on a fractional q‐difference dual‐hybrid problem along with dual‐hybrid q‐integro‐difference conditions. The uniqueness of the q‐solution for the proposed q‐difference equation are analyzed via the Banach′s contraction principle. The existence of solutions is analyzed by using the Krasnoselskii′s fixed‐point
Sina Etemad +2 more
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Deformable Laplace transform and its applications
Nonlinear Engineering, 2023 Recently, the deformable derivative and its properties have been introduced. In this work, we have investigated the concept of deformable Laplace transform (DLT) in more detail. Furthermore, some classical properties of the DLT are also included.
Ahuja Priyanka +3 more
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