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MORE NEW RESULTS ON INTEGRAL INEQUALITIES FOR GENERALIZED K-FRACTIONAL CONFORMABLE INTEGRAL OPERATORS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (7)

This paper aims to investigate the several generalizations by newly proposed generalized K-fractional conformable integral operator. Based on these no......

PATA TYPE CONTRACTIONS INVOLVING RATIONAL EXPRESSIONS WITH AN APPLICATION TO INTEGRAL EQUATIONS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (10)

In this paper, we introduce the notion of rational Pata type contraction in the complete metric space. After discussing the existence and uniqueness o......

ON SOLUTIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (10)

New class of differential and integral operators with fractional order and fractal dimension have been introduced very recently and gave birth to new ......

SOME NEW BOUNDS ANALOGOUS TO GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTION

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (10)

The present article deals with the new estimates in the view of generalized proportional fractional integral with respect to another function. In the ......

A STURM-LIOUVILLE APPROACH FOR CONTINUOUS AND DISCRETE MITTAG-LEFFLER KERNEL FRACTIONAL OPERATORS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (7)

In this work, we use integration by parts formulas derived for fractional operators with Mittag-Leffler kernels to formulate and investigate fractiona......

W-2,W-p-REGULARITY FOR ASYMPTOTICALLY REGULAR FULLY NONLINEAR ELLIPTIC AND PARABOLIC EQUATIONS WITH OBLIQUE BOUNDARY VALUES

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (9)

We prove a global W-2,W-p-estimate for the viscosity solution to fully nonlinear elliptic equations F(x, u, Du, D(2)u) = f(x) with oblique boundary co......

HIGHER ORDER CONVERGENCE FOR A CLASS OF SET DIFFERENTIAL EQUATIONS WITH INITIAL CONDITIONS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (9)

1. Introduction. In recent years, set differential equations (SDEs) which are defined in semilinear metric space have aroused many researcher's attent......

ON THE NUMBER OF LIMIT CYCLES OF A QUARTIC POLYNOMIAL SYSTEM

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (9)

In this paper, we consider a quartic polynomial differential system with multiple parameters, and obtain the existence and number of limit cycles with......

UNIFORM POLYNOMIAL STABILITY OF SECOND ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN HILBERT SPACES WITH POSITIVE DEFINITE KERNELS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (9)

We are concerned with the polynomial stability and the integrability of the energy for second order integro-differential equations in Hilbert spaces w......

SYMMETRY OF POSITIVE SOLUTIONS FOR SYSTEMS OF FRACTIONAL HARTREE EQUATIONS

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (9)

In this paper, we deal with a system of fractional Hartree equa-tions. By means of a direct method of moving planes, the radial symmetry and monotonic......

RADIAL SYMMETRY FOR LOGARITHMIC CHOQUARD EQUATION INVOLVING A GENERALIZED TEMPERED FRACTIONAL p-LAPLACIAN

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (10)

In this paper, we investigate radial symmetry and monotonicity of positive solutions to a logarithmic Choquard equation involving a general-ized nonli......

EXISTENCE AND NONEXISTENCE OF ENTIRE POSITIVE RADIAL SOLUTIONS FOR A CLASS OF SCHRODINGER ELLIPTIC SYSTEMS INVOLVING A NONLINEAR OPERATOR

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (10)

In this paper, we study the positive solutions of the Schro spacing diaeresis dinger elliptic system {div(G(vertical bar del y vertical bar(p-2))del y......

SOLVING FRACTIONAL ADVECTION-DIFFUSION EQUATION USING GENOCCHI OPERATIONAL MATRIX BASED ON ATANGANA-BALEANU DERIVATIVE

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (10)

In recent years, a new definition of fractional derivative which has a nonlocal and non-singular kernel has been proposed by Atangana and Baleanu. Thi......

CONVERGENCE OF A BLOW-UP CURVE FOR A SEMILINEAR WAVE EQUATION

期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021; 14 (3)

We consider a blow-up phenomenon for partial derivative t(u)(2)u(epsilon) - epsilon(2)partial derivative(2)(x)u(epsilon) = F(partial derivative(t)u(ep......

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