In this article, we establish bounds of sum of the left and right sided Riemann Liouville (RL) fractional integrals and related inequalities in general form. A new and novel approach is followed to obtain these results for general Riemann Liouville (RL) fractional integrals. Monotonicity and convexity of functions are used with some usual and straight forward inequalities. The presented results are also have connection with some known and already published results. Applications and motivations of presented results are briefly discussed.

Resolving partition and partition dimension have multipurpose applications in computer, networking, optimization, mastermind games and modelling of chemical substances. The problem of finding exact values of partition dimension is hard so one can find bound for the partition dimension of a general family of graph. In the present article, we give the sharp upper bounds and lower bounds for the partition dimension of m-wheel, W_n , _m for all n ≥ 4 and m ≥ 1. Presented data generalise some already available results.

In the present study, we will introduce the definition of interval h1,h2 nonconvex function. We will investigate some properties of interval h1,h2 nonconvex function. Moreover, we will develop Hermite-Hadamard- and Jensen-type inequalities for interval h1,h2 nonconvex function.

The concept of minimal resolving partition and resolving set plays a pivotal role in diverse areas such as robot navigation, networking, optimization, mastermind games and coin weighing. It is hard to compute exact values of partition dimension for a graphic metric space, (G, dG) and networks. In this article, we give the sharp upper bounds and lower bounds for the partition dimension of generalized Möbius ladders, Mm, n, for all n≥3 and m≥2.

There are many topological indices which have been discussed so far. But the most important topological indices among all these are topological degree-based indices. Topological indices in QSAR/QSPR study helped to check the biological activity and physical aspects of chemical compounds. In this paper, we computed the edge version of some prominent topological degree-based indices like Randić Index, Sum connectivity Index, Zagreb Indices, Atom bond connectivity ABC Index, Harmonic Index and Geometric-arithmetic GA Index of Boron triangular nanotubes.