a numerical method for solving nonlinear fredholm-volterra integral equations of general type is presented. this method is based on replacement of unknown function by truncated series of well known chebyshev expansion of functions. the quadrature formulas which we use to calculate integral terms have been imated by fast fourier transform (fft). this is a grate advantage of this method which has...

In this paper, we define almost Rg-Geraghty type contractions and utilize the same to establish some coincidence common fixed point results in setting of b2-metric spaces endowed with binary relations. As consequences our newly proved results, deduce for g-?-? Geraghty contraction mappings spaces. addition, derive partially ordered Moreover, show utility main provide an example application non-...

the territory of serbia is vulnerable to various types of natural hazards and the risk is not equal across the entire territory; it varies depending on the type of hazard and the expected potential for damage. the first aim of this research was to determine the geographical distributions of the major types of natural hazards. seismic hazards, landslides, rock falls, floods, torrential floods...

using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of hammerstein type . the mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). the procedure of this method is so fast and don't need high cpu and complicated programming. the advantages of this method are that we can applied for those integral equation...

In this paper, we investigated the sharp estimate for condition of given interval which guarantees unique solution a Reimman-Liouville-type fractional differential equations with boundary conditions. The method analysis is obtained by principle contraction mapping through using maximum value integral Green?s function. Besides, also concluded sharper lower bound eigenvalues an eigenvalue problem...

In this research, we establish some new fixed-point results for a symmetric coupled dominated fuzzy mapping satisfying advanced contraction on closed ball in the setting of complete metric spaces. addition, notion hybrid fuzzy-graph-dominated mappings introduced spaces achieves problems. Some definitions and illustrative examples are given to validate our findings. Lastly, demonstrate originali...

In this paper, we have established and proved fixed point theorems for the Boyd-Wong-type contraction in metric spaces. particular, generalized existing results a pair of mappings that possess but not continuous at point. We can apply result both discontinuous mappings. concluded our by providing an illustrative example each case application to existence uniqueness solution nonlinear Volterra i...

This paper aims to introduce the new concept of rational type fuzzy-contraction mappings in fuzzy metric spaces. We prove some fixed point results under conditions spaces with illustrative examples support our results. will play a very important role theory and can be generalized for different contractive context Moreover, we present an application nonlinear integral equation get existing resul...