Results 61 to 70 of about 2,247 (183)

Sobolev trace inequality on $W^{s,q}(\mathbb{R}^n)$ [PDF]

arXiv, 2019
Sobolev trace inequalities on nonhomogeneous fractional Sobolev spaces are established.
arxiv  

On the mixed fractional quantum and Hadamard derivatives for impulsive boundary value problems

Open Mathematics, 2021
In this work, we initiate the study of a new class of impulsive boundary value problems consisting of mixed type fractional quantum and Hadamard derivatives.
Niyoom Somboon, Ntouyas Sotiris K., Sudprasert Chayapat, Tariboon Jessada   +3 more
doaj   +1 more source

Symmetrized p-convexity and Related Some Integral Inequalities [PDF]

arXiv, 2019
In this paper, the author introduces the concept of the symmetrized p-convex function, gives Hermite-Hadamard type inequalities for symmetrized p-convex functions.
arxiv  

Stochastic delay fractional evolution equations driven by fractional Brownian motion [PDF]

, 2014
In this paper, we consider a class of stochastic delay fractional evolution equations driven by fractional Brownian motion in a Hilbert space. Sufficient conditions for the existence and uniqueness of mild solutions are obtained. An application to the stochastic fractional heat equation is presented to illustrate the theory.
arxiv   +1 more source

Efficiently Addressing Fractional-Order Population Diffusion Equations: Kamal Residual Power Series Method

Asia Pacific Journal of Mathematics
. In this study, we utilized the Kamal residual power series method to solve the fractional-order population diffusion equation in the Caputo sense. This method combines the residual power series method with the Kamal transformation integral.
Prapart Pue-on, Teerapat Siriwat, A. Karnbanjong   +2 more
semanticscholar   +1 more source

Basic and fractional q-calculus and associated Fekete-Szegő problem for p-valently q-starlike functions and p-valently q-convex functions of complex order

Miskolc Mathematical Notes, 2019
In this paper, we introduce and study some subclasses of p-valently analytic functions in the open unit disk U by applying the q-derivative operator and the fractional q-derivative operator in conjunction with the principle of subordination between ...
H. Srivastava, A. Mostafa, M. Aouf, H. Zayed   +3 more
semanticscholar   +1 more source

On Hermite-Hadamard type inequalities for multiplicative fractional integrals

Miskolc Mathematical Notes, 2020
In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving ...
H. Budak, K. Özçelik
semanticscholar   +1 more source

Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators

Arab Journal of Mathematical Sciences, 2019
In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
doaj  

Mild solutions for a problem involving fractional derivatives in the nonlinearity and in the non-local conditions

Advances in Difference Equations, 2011
A second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the nonlocal conditions is investigated. This model covers many of the existing models in the literature. It extends the integer order
Tatar Nasser-eddine
doaj  

On the use of Mohand integral transform for solving fractional-order classical Caputo differential equations

, 2020
In this research study, a newly devised integral transform called the Mohand transform has been used to find the exact solutions of fractional-order ordinary differential equations under the Caputo type operator. This transform technique has successfully
S. Qureshi, A. Yusuf, S. Aziz
semanticscholar   +1 more source