Results 11 to 20 of about 1,363 (174)
Fractional Sturm-Liouville eigenvalue problems, II [PDF]
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]
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
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
In this article, we illustrate the asymptotic behaviour of exponential functions of nabla fractional calculus.
Jonnalagadda, Jagan Mohan
core +1 more source
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
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
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
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
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
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

