Results 41 to 50 of about 1,104 (159)
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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Multi-term fractional differential equations with nonlocal boundary conditions
Open Mathematics, 2018 We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir +3 more
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A survey on fractional variational calculus
, 2018 Main results and techniques of the fractional calculus of variations are surveyed. We consider variational problems containing Caputo derivatives and study them using both indirect and direct methods.
Almeida, Ricardo, Torres, Delfim F. M.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav +4 more
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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 Mathematics, Volume 2026, Issue 1, 2026.This article is devoted to the study of existence, uniqueness, and Ulam–Hyers stability for a coupled system of two nonlinear Caputo‐type multiterm fractional differential equations equipped with coupled closed boundary data. The concept of coupled closed boundary conditions finds its applications in several physical situations, like composite panels ...
Ahmed Alsaedi +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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A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels
Journal of Mathematics, Volume 2026, Issue 1, 2026.This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit +4 more
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