Results 11 to 20 of about 1,363 (174)

Fractional Sturm-Liouville eigenvalue problems, II [PDF]

open access: yes, 2017
We continue the study of a non self-adjoint fractional three-term Sturm-Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left-Riemann-Liouville fractional integral under {\it Dirichlet type} boundary
Dehghan, Mohammad, Mingarelli, Angelo B.
core   +1 more source

All functions are locally $s$-harmonic up to a small error [PDF]

open access: yes, 2014
We show that we can approximate every function $f\in C^{k}(\bar{B_1})$ with a $s$-harmonic function in $B_1$ that vanishes outside a compact set. That is, $s$-harmonic functions are dense in $C^{k}_{\rm{loc}}$.
Dipierro, Serena   +2 more
core   +4 more sources

Existence result for a fractional differential equation involving a special derivative

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space.
Beddani Moustafa, Hedia Benaouda
doaj   +1 more source

Numerical Computation of Exponential Functions of Nabla Fractional Calculus

open access: yes, 2022
In this article, we illustrate the asymptotic behaviour of exponential functions of nabla fractional calculus.
Jonnalagadda, Jagan Mohan
core   +1 more source

Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractional q-integro-differential equation via numerical technique

open access: yesNonlinear Engineering, 2022
This article discusses the stability results for solution of a fractional q-integro-differential problem via integral conditions. Utilizing the Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results.
Yue Xiao-Guang   +4 more
doaj   +1 more source

Multiplicity solutions for a class of p-Laplacian fractional differential equations via variational methods

open access: yesOpen Mathematics, 2022
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
doaj   +1 more source

Boundary Value Methods for Caputo Fractional Differential Equations

open access: yes, 2021
This paper deals with the numerical computation and analysis for Caputo fractional differential equations (CFDEs). By combining the p-order boundary value methods (BVMs) and the m-th Lagrange interpolation, a type of extended BVMs for the CFDEs with γ ...
Yongtao Zhou
semanticscholar   +1 more source

Quantum integral inequalities on finite intervals

open access: yes, 2014
In this paper, some of the most important integral inequalities of analysis are extended to quantum calculus. These include the Hölder, Hermite-Hadamard, trapezoid, Ostrowski, Cauchy-Bunyakovsky-Schwarz, Grüss, and Grüss-Čebyšev integral inequalities ...
J. Tariboon, S. Ntouyas
semanticscholar   +1 more source

Numerical solution of fractional Mathieu equations by using block-pulse wavelets

open access: yesJournal 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
doaj   +1 more source

Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions

open access: yes, 2015
Lyapunov-type inequalities are established for a fractional differential equation under mixed boundary conditions. Using such inequalities, we obtain intervals where certain MittagLeffler functions have no real zeros.
M. Jleli, B. Samet
semanticscholar   +1 more source

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