Results 51 to 60 of about 2,247 (183)

lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods

open access: yesOpen Mathematics, 2017
Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in ...
Li Peiluan, Shang Youlin
doaj   +1 more source

Quasilinearization‐Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro‐Differential Equations With Logarithmic Weakly Singular Kernel

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro‐differential equations with logarithmic weakly singular kernel. After examining the behavior of the solution of the integro‐differential equation, we convert it into a ...
Qays Atshan Almusawi   +2 more
wiley   +1 more source

Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions

open access: yesOpen Mathematics, 2018
In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which
Hao Xinan, Wang Huaqing
doaj   +1 more source

Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method

open access: yesFrontiers Appl. Math. Stat.
This study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly in the area of local fractional calculus, combines the ...
Ghaliah Alhamzi   +3 more
semanticscholar   +1 more source

Bifurcation and Global Stability of a SEIRS Model With a Modified Nonlinear Incidence Rate

open access: yesJournal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this work, a SEIRS (susceptible–exposed–infected–recovered–susceptible) model with modified nonlinear incidence rate is considered. The incidence rate illustrates how the number of infected individuals initially increases at the onset of a disease, subsequently decreases due to the psychological effect, and ultimately reaches saturation due to the ...
Shilan Amin   +4 more
wiley   +1 more source

Existence and uniqueness results for a fractional Riemann–Liouville nonlocal thermistor problem on arbitrary time scales

open access: yesJournal of King Saud University: Science, 2018
Using a fixed point theorem in a proper Banach space, we prove existence and uniqueness results of positive solutions for a fractional Riemann–Liouville nonlocal thermistor problem on arbitrary nonempty closed subsets of the real numbers.
Moulay Rchid Sidi Ammi   +1 more
doaj  

Some new Hermite-Hadamard type inequalities for MT-convex functions on differentiable coordinates

open access: yesJournal of King Saud University: Science, 2018
In this paper, we introduce the notion of MT-convex functions on co-ordinates and establish some new integral inequalities of Hermite-Hadamard type for MT-convex functions on co-ordinates on a rectangle Δ in the plane R2.
P.O. Mohammed
doaj  

Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator

open access: yes, 2020
Finding the exact solution to dynamical systems in the field of mathematical modeling is extremely important and to achieve this goal, various integral transforms have been developed.
Prem Kumar, S. Qureshi
semanticscholar   +1 more source

A note on fractional difference operators

open access: yesAlexandria Engineering Journal, 2018
In the present article, following on very recent and new approach of fractional difference operator by Baliarsingh (2016), we establish some new ideas involving the exponent rules of this operator.
P. Baliarsingh, L. Nayak
doaj  

On fractional kinetic equations k-Struve functions based solutions

open access: yesAlexandria Engineering Journal, 2018
In the present research article, we investigate the solutions for fractional kinetic equations, involving k-Struve functions, some of the salient properties of which we present. The method used is Laplace transform based.
Kottakkaran Sooppy Nisar   +2 more
doaj  

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