سنت كى آئينى حيثيت اور اقبال

The personality of Allama Iqbal is the integral part of the religious and national thinking of the Muslims of subcontinent,  and for Pakistanis along with a religious thinker he is also the person who gave the idea of Pakistan. Because of this legacy Iqbal is considered as the founder of a school of thought in Pakistan's academic atmosphere. The magnitude of this position and importance is evident from the fact that the people of different intellectual backgrounds and ideologies have been seeking evidence from Iqbal in support of their arguments. So even the proponents of socialist ideology or the holders of the thought of negating the legal status of Hadeeth have tried to prove Iqbal as a torch bearer of their stance and saw their struggle as a continuation of his (Iqbal’s) thinking. But it is a general rule that a person, especially the one who is a prominent figure and there are a lot of themes that are present in his thoughts, cannot be judged on the basis of only some of his works. So declaring Iqbal as the negator of legal status of the Hadeeth because of some of his writings is not a fair academic activity. This paper would study the actual view of Iqbal about the legal status of Sunnah as well the place of Prophethood in his thoughts and try to figure out whether his stand in this regard is in accordance with the traditional concept o1r it is different and if it is different then how much is it different?

Generalization of Fractional Calculus Operators With Applications

Generalized forms of fractional calculus operators (integrals and derivatives) are introduced. Caputo -fractional derivative and Hadamard Caputo type -fractional derivative are discussed and their results with some applications are presented. Extensions of Weyl -fractional integral and Hadamard -fractional integral are also introduced. Boundedness of the extended Hadamard -fractional integral inspaces is determined. The generalized -fractional derivative and generalized Caputo type -fractional derivative are introduced and their properties and results are found. Finaly, the generalized type -fractional integral (unifying eleven existing fractional integrals) is introduced and its boundedness inspaces is also determined.Further, integral transforms of - fractional and extended -fractional operators are found. Proofs of properties including semigroup, commutative and some other results for -Weyl fractional integral are given. Moreover, some inequalities for -Weyl fractional integral are discussed and examples are also given to illustrate the results. Relationship between these new generalized forms of fractional calculus operators with the existing fractional operators are discussed by substituting the different values of involved parameters. Integral transforms of new fractional operators and their applications are also given.