Abstract This work presents the existential and unique results for solution to a kind of high-order fractional nonlinear differential equations involving Caputo derivative. The boundary condition is integral type, which entangles both starting ending points domain. First, exact extracted in terms Green’s function linear equation, then Banach contraction mapping theorem applied prove main result...

This paper is devoted to the study of establishing sufficient conditions for existence and uniqueness of positive solution to a class of non-linear problems of fractional differential equations. The boundary conditions involved Riemann-Liouville fractional order derivative and integral. Further, the non-linear function $f$ contain fractional order derivative which produce extra complexity. Than...

This paper is aimed at establishing some unique common fixed point theorems in complex-valued b -metric space under the rational type contraction conditions for three self-mappings which one self-map continuous. A continuous commutable with other two self-mappings. Our results are verified by suitable examples. Ultimatel...

Abstract We improve the rational contractive condition and prove common fixed point in dislocated metric spaces. In addition, new generalized contraction has existence of a solution for system integral equations.

OBJECTIVES We sought to determine the effectiveness of the maze procedure for restoring atrial contraction in patients with and without giant left atrium (GLA). BACKGROUND Although the maze procedure has been reported to be effective for refractory atrial fibrillation, it is unknown whether this procedure can restore effective atrial contraction in patients with GLA. METHODS Nineteen patien...

BACKGROUND Esophageal motility has been described in the literature as having differences between men and women. Most of these investigations use the water perfusion method for esophageal manometry. In this investigation the esophageal motility of men and women was compared with high-resolution manometry of the esophagus. OBJECTIVE To compare the esophageal motility of men and women with the ...