Results 61 to 70 of about 286 (182)
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we develop a comprehensive analytical framework for generalized nonlinear, nonhomogeneous Volterra integral equations and fractional differential equations in b‐metric spaces equipped with amorphous binary relations. By introducing an enriched (f, ϕ, ψ, s)‐functional contraction, we extend classical contractive conditions to accommodate ...
D. Srinivasan +2 more
wiley +1 more source
A Poster about the Old History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
J. T. MACHADO +5 more
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Topological Algebra and its Applications, 2022 In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative.
Bouriah Soufyane +2 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study investigates a category of high‐order sequential fractional boundary value problems involving four‐term fractional derivatives. Motivated by the nonlocal properties of fractional calculus and the limitations of available models with fewer derivatives, the solutions of a novel four‐term sequential fractional differential equation under hybrid
Debao Yan, Pramita Mishra
wiley +1 more source
Fractional relaxation with time-varying coefficient [PDF]
, 2014 From the point of view of the general theory of the hyper-Bessel operators, we consider a particular operator that is suitable to generalize the standard process of relaxation by taking into account both memory effects of power law type and time ...
PAGNINI, GIANNI +10 more
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Open EngineeringPyrolysis is key to transforming biomass and organic waste into useful energy products. However, standard integer-order models poorly capture the memory and heredity effects that significantly affect the thermal decomposition dynamics of pyrolysis.
Ali Mumtaz +5 more
doaj +1 more source
Advances in Nonlinear Analysis, 2015 In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj +1 more source
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
wiley +1 more source
Open Mathematics, 2021 We study a nonlinear system of Riemann-Liouville fractional differential equations equipped with nonseparated semi-coupled integro-multipoint boundary conditions. We make use of the tools of the fixed-point theory to obtain the desired results, which are
Alsaedi Ahmed +3 more
doaj +1 more source
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
wiley +1 more source