Hadamard–Mercer, Dragomir–Agarwal–Mercer, and Pachpatte–Mercer Type Fractional Inclusions for Convex Functions with an Exponential Kernel and Their Applications

Many scholars have recently become interested in establishing integral inequalities using various known fractional operators. Fractional calculus has grown popularity as a result of its capacity to quickly solve real-world problems. First, we establish new the Hadamard–Mercer, Pachpatte–Mercer, and Dragomir–Agarwal–Mercer types containing an exponential kernel. In this regard, inequality proved by Jensen Mercer plays major role our main results. Integral involving convexity wide range applications several domains mathematics where symmetry is important. Both are closely linked with each other; when working on one topics, you can apply what learned other. We consider identity for differentiable mappings present companion bound type employing convex function. Applications matrices presented. Finally, conclude article discuss future scope.